Virtually every secondary source gives him middle name, "Ignatius," so I'm going along with it, but in fact I've yet to find a primary record with a middle name or even a middle initial.

John was born apparently well after Rachel's death, but before Thomas's marriage to Elizabeth RAY.  On one of John's marriage records, he gives his father's name as "Thomas," but his mother's name as "Rebecca."  Despite the fact that Thomas's obituary says he married only twice, I'm inclined to think he had a wife (or mistress) between his marriages to Rachel and Betsy.  Newspapers are notoriously bad at getting facts correct, and we don't know how well-informed the author of the obituary was.  Either that or Rachel was Rachel Rebecca KIRK, but that means we have to posit the loss of some three children between Jeremiah and John, which is possible, but I think it's more likely Thomas had a wife unknown to the author of the obit.

— born in Posey Twp., Clay Co., IN:
9.  Sarah Edna CARICO, b. Jul 1870

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

Thomas Ignatius CARICO Birth: 01 Oct 1820, KY Father: Vincent CARICO; Mother: Mary ELDER Source: patron submission

Thomas CARICO Spouse: Rachel KIRK Marriage: 01 Mar 1844, Orange, Indiana Source: patron submission

Thomas I or Ignatius CARRICO Father: D. Richard or David CARICO; Mother: Theresa S. or Sabina LUCKETT Marriage: About 1866, of Clay, Indiana Spouse: Betsy REA Birth: About 1847 Source: patron submission

David Richard CARRICO is Thomas's brother, not his father.

1b.  LDS.  Family Search: Internet Genealogy Service:  AF - Ancestral File (online at FamilySearch.org).

Thomas Ignatius CARICO Birth: 1 Oct 1820, Ky Father: Vincent CARICO; Mother: Mary ELDER Source: patron submission

2a.  1850 Census Every-Name-Index/Images (online at Ancestry.com, Image #10 of 30):  North West Twp., Orange Co., IN, Roll M432_163, p. 486A, 4083/4087, enumerated 6 Nov 1850, official enumeration date 1 Jun 1850 (extracted by Diana Gale Matthiesen):¤•

Thomas Carico	30	M		Farmer		Ky
Rachel   "	24	F				Ind
William  "	5	M				"
Mary E   "	4	F				"
Lucinda  "	3	F				"
Jeremiah "	1	M				"

Listed next to Rachel's parents, Jeremiah KIRK (æ 58, b. VA) and his wife, Mary (æ 57, b. KY).

2b.  1850 Census Every-Name-Index/Images (online at Ancestry.com):  Elizabeth RAY (æ 20, b. IN) is living in Parke Co., IN (p. 270B), with her parents, William RAY (æ 52, b. KY) & Laura (æ 42, b. KY), plus siblings.

3.  1860 Census Every-Name-Index/Images (online at Ancestry.com):  can't find, and I really looked.

4.  1870 Census Every-Name-Index/Images (online at Ancestry.com, Image #27 of 54):  Centre Point P.O., Posey Twp., Clay Co., IN, Roll M593_304, p. 152A, PN 27, 210/211, enumerated 18 Jun 1870, official enumeration date 1 Jun 1870 (extracted by Diana Gale Matthiesen):¤•

Carico Thomas	52	M	W	Cooper		75	Indiana
______ Elizabeth J	40	F	W	Keeping house			Indiana
______ Jeremiah	20	M	W	Day laborer			Indiana
______ John	12	M	W				Indiana
______ Thomas	8	M	W				Indiana
______ Ida M	6	F	W				Indiana
______ Olie	2	F	W				Indiana

5.  1880 Census Every-Name-Index/Images (online at Ancestry.com, Image #17 of 20):  Posey Twp., Clay Co., IN, Roll T9_269, p. 439B, PN 20, SD 4, ED 230, enumerated 28 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

9

10

13

21

22

23

24

25

26

157

160

Carico Thos

W

M

60

/

Livery man

/

/

KY

KY

KY

______ Betsy J

W

F

50

Wife

/

Keeping house

IN

PA

PA

______ John

W

M

23

Son

/

Farm laborer

IN

KY

IN

______ Thos

W

M

18

Son

/

works in stable

/

IN

KY

IN

______ Ida

W

F

16

Dau

/

at home

IN

KY

IN

______ Olive

W

F

13

Dau

/

at home

/

IN

KY

IN

______ Sarah Edna

W

F

11

Dau

/

at home

/

IN

KY

IN

Sarah can't be age eleven; she didn't show up in the 1870 census.  As the 1900 census shows, she was born in July 1870, so would have just missed the census that year.

6.  1890 Census:  the 1890 Census Population Schedules were destroyed.

7.  1900 Census Every-Name-Index/Images (online at Ancestry.com, Image #23 of 28):  Posey Twp., Clay Co., IN, Roll T623_363, p. 257A, SN 11, SD 5, ED 18, enumerated 15 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

10

11

12

13

14

15

19

20

21

22

23

24

25

26

27

227

240

Carrico Thomas Sr

Head

W

M

Oct 1820

79

M

KY

MD

MD

0

N

N

Y

O

F

H

_______ Thomas Jr

Son

W

M

Sep 1862

37

S

IN

KY

IN

coal mining

0

Y

Y

Y

Sexton William

S-in-law

W

M

Aug 1866

39

M

11

IN

OH

OH

coal mining

0

Y

Y

Y

______ Edna

Dau

W

F

Jul 1870

29

M

11

1

1

IN

KY

IN

Y

Y

Y

______ Maud

GDau

W

F

Nov 1889

10

S

IN

KY

IN

at school

8

Y

Y

Y

Carico Carrie

GDau

W

F

Mar 1892

8

S

IN

IN

IN

at school

8

Y

Y

Y

Carrie is a daughter of our subject's son, John, as shown on her marriage record (Vigo Co., IN).

8.  Anon.  6 Aug 1903.  "Obituary:  Thomas Ignatius Carrico, 1820-1903."  Herald of Gospel Liberty, Christian Publ. Assn., Dayton, OH (online at Linda Booram's web site; contributed by Karen Fowler Caldwell):

Thomas Ignatius Carrico was born in Kentucky, October 1, 1820.  He departed  this life July 23, 1903, aged 82 years, 9 months and 22 days.  At the age of  nineteen he came from Kentucky with his parents to Mt. Pleasant, Martin county, Ind.  He was one of a family of thirteen children, only one of whom is now living, Mrs. Sabina Choral, of Indianapolis.  Mr. Carrico was twice married, having survived both his wives.  To him were born twelve children, six of whom are still living.  He was a kind, good, and affectionate father, loving his children and beloved by them.  For many years he was a member of  the First Christian Church of Staunton, Ind., and was a silent force for good on all lines of Christian work.  Rev. H. L. Bailey, of Lebanon, Ind., officiated.

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

Thomas Ignatius CARRICO II Birth: 1 Oct 1820, Nelson Co., KY; Death: 23 Jul 1903, Martin Co., IN Father: Vincent CARRICO; Mother: Mary ELDER

Thomas CARICO married Elizabeth J. RAY on 23 Sep 1858 in Parke Co., IN.

10.  Public Member Trees (online at Ancestry.com).

11.  One World Tree (online at Ancestry.com).  A file there shows Rachel KIRK as daughter of Jeremiah KIRK & Mary GERKING.