Rebecca appears to have been fibbing about her age in the 1900 census.

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

Samuel RADABAUGH Spouse: Jennie BENNETT Marriage: 28 Mar 1878, Putnam, Ohio Source: Marriage Records, 1834-1916. Ohio. Probate Court (Putnam County)

Eva RADABAUGH Birth: 17 Oct 1881, Blanchard, Putnam, Ohio Father: Samuel RADABAUGH; Mother: Jennie BENNETT Source: not given

Either Eva's birthyear is wrong here or it's wrong in the 1900 census.

2.  1880 Census Every-Name-Index/Images (online at Ancestry.com, Image #1 of 39):  Blanchard Twp., Putnam Co., OH, Roll T9_1060, p. 380A, PN 1, SD 1, ED 137, enumerated 1 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	10	13	24	25	26
2	2	Radabaugh Samuel	W	M	30		/	Farmer	OH	OH	OH
		_________ Jane	W	F	24	Wife	/	Keeping House	OH
		_________ Willard	W	M	1	Son			OH	OH	OH

Listed next to Samuel's parents, Martin RADABAUGH (56, OH) and his wife, Rachel (53, OH).

3.  1890 Census:  the 1890 Census Population Schedules were destroyed.

4.  1900 Census Every-Name-Index/Images (online at Ancestry.com, Image #5 of 38):  Gilboa, Blanchard Twp., Putnam Co., OH, Roll T623_1315, p. 3A, SN 3, SD 4, ED 59, enumerated 5 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).

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26

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28

55

55

Radabaugh Samuel

Head

W

M

Oct 1849

50

M

22

OH

OH

OH

Farmer

Y

Y

Y

O

F

F

50

_________ Rebecca

Wife

W

F

Dec 1859

40

M

22

4

3

OH

OH

OH

Y

Y

Y

_________ Eva

Dau

W

F

Oct 1882

19

S

OH

OH

OH

At School

7

Y

Y

Y

_________ Charles

Son

W

M

Nov 1884

1?

S

OH

OH

OH

At School

7

Y

Y

Y

_________ Lydda

Dau

W

F

Apr 1886

14

S

OH

OH

OH

At School

7

Y

Y

Y

Rebecca should be 44, not 40.  Listed next to Samuel's uncle, James POE (71, OH, wife Nancy); and, in the other direction, listed next to Samuel's widowed mother, Rachel (POE) RADBAUGH (74, OH), who is next to Samuel's brother, [Martin Ellsworth] E. RADABAUGH (37, OH, wife Irene), who next to Robert POE, who is next to Samuel's brother, John RADABAUGH (31, OH, wife Malinda).

5.  1910 Census Index/Images (online at Ancestry.com, Image #14 of 17):  770 North Front St., Columbus City (Ward 10), Franklin Co., OH, Roll T624_1182, p. 164B, SN 7B, SD 11, ED 151, enumerated 27 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).

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25

26

27

28

143

143

Miner William D

Head

M

W

52

M1

28

OH

Unk

Unk

Eng

???

???

W

N

0

Y

Y

O

F

H

_____ Cathrine S

Wife

F

W

55

M1

28

1

1

OH

Ger

OH

Eng

None

Y

Y

_____ Margaret

dau

F

W

19

S

0

OH

OH

OH

Eng

None

Y

Y

Y

Radebaugh Chas

Boarder

M

W

21

S

OH

OH

OH

Eng

Clerk

C & E Shoe

W

N

0

Y

Y

This Charles RADEBAUGH may not be our subject's son, but he's the only likely one I could find.