Although Harry went by surname BAIN, there is reason to believe Greenberry BAIN was not his biological father because 1) Greenberry and Elizabeth had separated by the 1870 census (before the birth of Harry), where we find Elizabeth BAIN living with Elijah HAMBLETON (a.k.a., Elisha HAMILTON); and 2) in the 1880 census, Harry is surnamed HAMILTON, even though Elizabeth is still surnamed BAIN, indicating Elizabeth and Elisha/Elijah had never married, but that Harry was his child (likewise, Harry's sister Lillie). 

1.  LDS.  Family Search: Internet Genealogy Service:  IGI - International Genealogical Index (online at FamilySearch.org).

Harry BAIN Birth: 15 Apr 1876, Zanesville, Muskingum, Ohio Death: 18 Dec 1929, Zanesville, Muskingum, Ohio Spouse: Margaret May STAUB Birth: 26 Feb 1884, Zanesville, Muskingum, Ohio Death: 25 Jul 1955, Columbus, Franklin, Ohio Source: patron submission

2.  1870 Census Every-Name-Index/Images (online at Ancestry.com, Image #16 of 32):  Washington Twp., Muskingum Co., OH, Roll M593_1251, p. 425B, PN 16, 121/120, enumerated 13 Jun 1870, official enumeration date 1 Jun 1870 (extracted by Diana Gale Matthiesen):

Hambleton Elijah	62	M	W	Farmer	1200	120	East Virginia
Bain Elizabeth	30	F	W	House Keeper			Ohio

Elizabeth has left her husband (or he has deserted her), and she is living with Elisha HAMILTON.  Elisha's wife, Catherine, is living in Athens Co., OH, with their married daughter, Elvira (HAMILTON) SULLIVAN.

3a.  1880 Census Every-Name-Index/Images (online at Ancestry.com, Image #3 of 5):  Muskingum County Infirmary, Zanesville, Muskingum Co., OH, Roll T9_1054, p. 79C, PN 35, SD 7, ED 156, enumerated __ Jun 1880, official enumeration date 1 Jun 1880 (extracted by Diana Gale Matthiesen):-

1880:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean (missing columns contained no data).
1	2	3	4	5	6	9	22	23	24	25	26
___	___	Bain Elizabeth	W	F	44	/	/	/	Ohio	___	___
		Hamilton Lillie M	W	F	10	/			Ohio	___	Ohio
		________ Harry	W	M	4	/			Ohio	___	Ohio
		Bain Geo W	W	M	1	/			Ohio	___	Ohio

Elisha HAMILTON is living in Washington Twp., Muskingum Co., OH, with widow Nancy BLAKE.

3b.  1880 Census Every-Name-Index/Images (online at Ancestry.com, Image #26 of 30):  Washington Twp., Muskingum Co., OH, Roll T9_1054, p. 341B, PN 26, SD 7, ED 174, enumerated 23 Jun 1880, official enumeration date 1 Jun 1880 (extracted by Diana Gale Matthiesen):-

1880:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean (missing columns contained no data).
1	2	3	4	5	6	8	11	13	20	24	25	26
227	227	Bane Elizabeth	W	F	35?		D	Keeping House		OH	OH	OH
		"  Lill	W	F	8	Dau			/	"	"	"
		"  Harry	W	M	4	Son				"	"	"

Elizabeth has managed to get enumerated twice.

4.  1890 Census:  the 1890 Census Population Schedules were destroyed.

5.  1900 Census Head-of-Household-Index/Images (online at Genealogy.com, Image #1 of 21):  33 Second St., Zanesvlle City (Ward 1), Muskingum Co., OH, Roll T623_1310 (Book 2), p. 39A, SN 1, SD 14, ED 67, enumerated 1 Jun 1900, official enumeration date 1 Jun 1900 (extracted by Diana Gale Matthiesen):

1900:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean (missing columns contained no data).
		1	2	3	4	5	6	7	8	9	11	12	13	14	15	19	20	22	23	24	25	27
*	33	8	11	Patton Elizabeth	Head	W	F	Feb 1835	65	Wd	8	5	OH	OH	PA			Y	Y	Y	R	H
				Bain Harry	Son	W	M	Apr 1875	25	S			OH	OH	OH	Laborer (Brick yd)	0	Y	Y	Y
*Second St

Although Harry & Maggie STRAUB didn't marry until the end of the year, I went ahead and put them in the Columbus timeline for 1900.

6a.  1910 Census Every-Name-Index/Images (online at Ancestry.com, Image #8 of 20):  20 South Bell Street, Columbus City (Ward 8), Franklin Co., OH, Roll T624_1182 (Book 1), p. 99B, SN 4B, SD 11, ED 123, enumerated 18 Apr 1910, official enumeration date 15 Apr 1910 (extracted by Diana Gale Matthiesen):¤

1910:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean (missing columns contained no data).

1

2

3

4

5

6

7

8

9

10

11

12

13

14

17

18

19

20

21

22

23

24

26

28

*

20

78

80

Scurlock Edward L

Head

M

W

25

M1

2

OH

OH

OH

Eng

Caller

Rail Road

W

N

0

Y

Y

R

H

________ Hattie

Wife

F

W

21

M1

2

0

0

OH

OH

OH

Eng

None

Y

Y

Smith Bethre

Roomer

F

W

25

M1

6

1

1

OH

OH

OH

Eng

Cigar maker

Factory

W

N

0

Y

Y

Connings? Jennie

Roomer

F

W

19

M1

3

0

0

OH

OH

OH

Eng

Cook

Res

W

N

0

Y

Y

Baine Harry

Roomer

M

W

31

M1

OH

OH

OH

Eng

Trucker

Rail Road

W

N

0

Y

Y

*South Bell Street

At this point, Margaret May has already re-married to Harry SMITH (see next source), so our subject's Marital Status should be D, not M.  Hattie (STRAUB) SCURLOCK and Bertha (STRAUB) SMITH are Harry's ex-sisters-in-law.  Grace B. YOUNG (æ 21, b. OH, status married) is living in Jefferson Twp., Scioto Co., OH (p. 107A), with daughter, Pauline YOUNG (æ 1 1/12, b. OH), et al.

6b.  1910 Census Every-Name-Index/Images (online at Ancestry.com, Image #6 of 14):  153 Maple St., Columbus City (Ward 11 ), Franklin Co., OH, Roll T624_1182, p. 233B, SN 3B, SD 11, ED 158, enumerated 16 Apr 1910, official enumeration date 15 Apr 1910 (extracted by Diana Gale Matthiesen):¤•

1910:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean (missing columns contained no data).

1

2

3

4

5

6

7

8

9

10

11

12

13

14

17

18

19

20

21

23

24

25

26

28

*

153

74

86

Smith Harry

Head

M

W

26

M1

NJ

NJ

NJ

Eng

Driver

Transfer Co

W

N

Y

Y

R

H

_____ May

Wife

F

W

26

M2

2

2

OH

OH

OH

Eng

Boarders

at Home

OA

Y

Y

Bain William

StepSon

M

W

8

S

OH

OH

OH

none

Y

____ Albert

StepSon

M

W

7

S

OH

OH

OH

none

Y

Huston Roy

Boarder

M

W

47

M2

13

OH

OH

OH

Eng

Finisher

Buggy Shop

W

N

Y

Y

[Plus three other boarders not extracted]

*Maple St

Roy HUSTON is May's step-father, second husband of her mother, Ella DERWACTER.

7a.  1920 Census Every-Name-Index/Images (online at Ancestry.com, Image #6 of 20):  1067 Eastman Street, Zanesville City (Ward 3, Pct. C), Muskingum Co., OH, Roll T625_1425, p. B, SN 3B, SD 16, ED 12, enumerated 21 Jan 1920, official enumeration date 1 Jan 1920 (extracted by Diana Gale Matthiesen):

1920:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean (missing columns contained no data).

1

2

3

4

5

6

7

9

10

11

12

16

17

18

19

21

23

25

26

27

28

*

1067

71

72

Bain Harry

Head

R

M

W

43

M

Y

Y

OH

OH

OH

Y

Laborer

Brick Co

W

____ Grace

Wife

F

W

31

M

Y

Y

OH

OH

OH

Y

None

____ Pauline Z

Dau

F

W

10

S

Y

Y

Y

OH

OH

OH

Y

None

____ Bertram B

Son

M

W

4

S

OH

OH

OH

None

*Eastman Street

Pauline is Grace's daughter from her prior marriage.

7b.  1920 Census Every-Name-Index/Images (online at Ancestry.com, Image #1 of 16):  39 E. Popular, Columbus (Ward 12), Franklin Co., OH, Roll T625_1382, p. 190A, SN 1A, SD 2, ED 208, enumerated 2 Jan 1920, official enumeration date 1 Jan 1920 (extracted by Diana Gale Matthiesen):¤•

1920:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean (missing columns contained no data).

1

2

3

4

5

6

7

9

10

11

12

17

18

19

21

23

25

26

27

28

*

39

6

7

Smith Harry

Head

R

M

W

35

M

Y

Y

CT

CT

CT

Y

RR Employee

RR

W

_____ May M

Wife

F

W

35

M

Y

Y

OH

OH

OH

Y

House Work

Home

Bain William

StepSon

M

W

19

S

Y

Y

OH

OH

OH

Y

Expressman

Express Co

W

____ Albert

"

M

W

17

S

Y

Y

OH

OH

OH

Y

Clerk

Grocery

W

Huston Roy

F-in-Law

M

W

58

M

Y

Y

OH

OH

OH

Y

Laborer

Shop

W

______ Ella

M-in-Law

F

W

58

M

Y

Y

OH

OH

OH

Y

House Work

Private Family

W

Cunningham Bert

Roomer

M

W

53

S

Y

Y

OH

OH

OH

Y

Hoster

Livery Barn

W

*E Popular

8.  1930 Census Every-Name-Index/Images (online at Ancestry.com, Image #2 of 56):  1169 Eastman Street, City of Zanesville (Ward 3), Muskingum Co., OH, Roll 1859, p. 61B, SN 1B, ED 60-42, SD 19, enumerated 2/3 Apr 1930, official enumeration date 1 Apr 1930 (extracted by Diana Gale Matthiesen):

1930:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean (missing columns contained no data).

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

24

25

26

27

28

30

*

1169

24

24

Bain Grace

Head

O

880

R

N

F

W

41

Wd

N

Y

OH

OH

OH

Y

None

Schultz Pauline A

Dau

F

W

21

M

19

N

Y

OH

OH

OH

Y

Packer

Glass Plant

W

Y

_______ Robert

Son in law

M

W

20

M

18

N

Y

OH

OH

OH

Y

Laborer

Sheet Mill

W

Y

N

Bain Bertam J

Son

M

W

14

S

Y

Y

OH

OH

OH

Y

None

*Eastman Street

Pauline (BAIN-YOUNG) SCHULTZ is Graces's daughter from her prior marriage.

9.  WorldConnect / Ancestry World Trees (online at RootsWeb.com/Ancestry.com). A file there has this obituary in its Notes:

Obit courtesy of the Zanesville Times Recorder [12/18/1929] HARRY BAIN, 53, DIES WEDNESDAY OF BRIEF ILLNESS Henry Bain, 53, of 1169 Eastman Street, died at 6 o'clock Wednesday morning at Bethesda Hospital. He had been stricken ill suddenly Sunday evening and death came unexpectedly. He was a veteran of the Spanish-American war and was well known in this city, having formerly been an employee of the Mosaic Tile Company.  He was a member of the First Baptist Church. Surviving besides his widow of the home, are three sons, Albert and William of Columbus, and Bert of the home; one daughter, Miss_Pauline Schultz of the home; one brother, Charles Bain, this city, and one sister, Mrs. Minnie Lupton of Muncie Ind. The body was removed to the Timmer Funeral Home, 821 Market Street, but will be returned late this evening to the home on Eastman Street, where it will remain until 2 o'clock Friday afternoon.  Funeral services will be held at that hour at the Trimmer chapel.  Rev. Charles J. Bowen, First Baptist Church, officiating.  Burial will be made in Greenwood.

Pauline is married, and she's Harry's step-daughter, not his biological child.

10.  Messages posted to the Bain Family Genealogy Forum (online at GenForum.com).

11.  WorldConnect / Ancestry World Trees (online at RootsWeb.com/Ancestry.com).

12.  Email from Carol Berry.