Lucretia's age varies widely in the censuses.  The average woman marries for the first time at the age of 19, which would place her birth ca. 1812, but her parents didn't marry until Dec 1814.  Unless it was a shotgun wedding or she is not their child, Lucretia can't have been born any earlier than 1815; and if she married in 1831, she can't have been born much, if any, later than 1815.  If she was born in 1815, then she has to be the twin sister of Louann; either that or Louann's birthdate is wrong.

— born in McCameron Twp., Martin Co., IN:
  6.  Mary Ann INMAN, b. 1840/1
  7.  Thomas INMAN, b. 1842/3
  8.  Norvell / Norval INMAN, b. 1844/5
  9.  Elisha INMAN, Jr., b. 18 Sep 1847; d. 1 Mar 1900; bur. Pleasant Ridge Cem., IN; m. Martha __?__
10.  Hannah INMAN, b. 1847/8
11.  Randell / Randal / Randall INMAN, b. Sep 1849

— born in either McCameron Twp., Martin Co., IN, or Taylor Twp., Greene Co., IN:
12.  Delila / Delilah INMAN, b. 1851/2
13.  Ziba INMAN, b. 1853/4

Ziba is a male scriptural name (2 Samuel 9:2-4); it means "planter."

1.  Indiana Marriage Collection, 1800-1941 (online at Ancestry.com):

Elisha Inman

Lucretia Corbin

16 Jun 1831

Lawrence Co.

FHL Film #1317624, Item 3

2.  1840 Census Index/Images (online at Ancestry.com, Image #33 of 42; extracted by Diana Gale Matthiesen):

1840

IN

Martin Co.

Roll 99

pp. 28B-29A/161-162

Ln. 2

Elisha INGMAN

300 010 - 110 010

0100000

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
3 males	4 or under	1835-1840	= James (b. 1838/9) = John (b. 1836/7) = William (b. 1835/6)
1 male	20-29	1810-1820	= Elisha (b. 1812/3)
1 female	4 or under	1835-1840	= Daugther B
1 female	5-9	1830-1835	= Daughter A
1 female	20-29	1810-1820	= Lucretia (b. ca. 1815)
1	person employed in agriculture

Listed four lines above Lucretia's father, James CORBIN.

3.  1850 Census Every-Name-Index/Images (online at Ancestry.com, Image #4 of 13):  McCameron [Twp.], Martin Co., IN, Roll M432_160, p. 10B, 29/29, enumerated 12 Sep 1850, official enumeration date 1 Jun 1850 (extracted by Diana Gale Matthiesen):

Elisha Inman	37	M		Farmer	400	Ind
Lucretia Inman	30	F				"
William C Inman	14	M				"
John Inman	13	M				"
James Inman	4	M				"
Mary Ann Inman	9	F				"
Thomas Inman	7	M				"
Norval Inman	5	M				"
Elisha Inman	3	M				"
Hannah Inman	2	F				"
Randall Inman	8/12	M				"

Lucretia cannot be this young, and James should be age 11 (see 1860 census).  Also, Lucretia was born in KY, not IN.  "William C Inman" was once misread and published by someone as "William CANNON," so the mistake has been widely promulgated.

4.  1860 Census Every-Name-Index/Images (online at Ancestry.com, Image #21 of 36):  Scotland P.O., Taylor Twp, Greene Co., IN, Roll M653_262, p. 782, PN 196, 1357/1357, enumerated 8 Aug 1860, official enumeration date 1 Jun 1860 (extracted by Diana Gale Matthiesen):

Lucrecia Indmond	47	F		Farmer	1000	200	Ky
William C   "	25	M		Farm Laborer			Ind
John        "	24	M		"     "			"
Mary A      "	18	F		Sewing			"
Thomas      "	17	M		Farm Laborer			"
Norvell     "	14	M					"
Elisha      "	13	M					"
Hannah      "	12	F					"
Randell     "	10	M					"
Delila      "	8	F					"
Ziba        "	6	F					"

Listed next to married son, James INDMOND (æ 21, b. IN), and his family.  Ziba is a male scriptural name; see also 1870 census.

5.  1870 Census Every-Name-Index/Images (online at Ancestry.com, Image #26 of 42):  Scotland P.O., Taylor Twp., Greene Co., IN, Roll M593_318, p. 463B, PN 26, 186/186, enumerated 5 Aug 1870, official enumeration date 1 Jun 1870 (extracted by Diana Gale Matthiesen):

Inman Lucretia	54	F	W	Keeps house	800	200	Kentucky
"   Norvell	23	M	W	Farmer		100	Ind
"   Elisha	21	M	W	"			"
"   Hannah	18	F	W	At home			"
"   Randal	17	M	W	Farm hand			"
"   Ziba	15	M	W	"    "			"
"   Delilah	16	F	W	At home			"

6.  1880 Census Every-Name-Index/Images (online at Ancestry.com, Image #14 of 18):  S ½ Taylor Twp., Greene Co., IN, Roll 281, p. 206B, PN 14, SD 4, ED 309, enumerated 10 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	11	13	22	23	24	25	26
125	128	Inman Lucretia	W	F	77	/	keeping house	/	/	Ky	Ky	Ky

Lucretia cannot be this old; a serious case of "age inflation" appears to have set in here.  Listed next to married son, Randall INMAN (æ 38, b. IN), and his family.

7.  1890 Census:  the 1890 Census Population Schedules were destroyed.

8.  1900 Census Every-Name-Index/Images (online at Ancestry.com):  not found.

9.  Kenneth Corbin.  2009.  The Leaves of the Corbin Tree.  Vol. 1 of 2.  Self-published, Louisville, KY:

The author did not routinely put surnames in all-caps, so I have converted them to make for easier scanning for names. Text in fixed font was extracted verbatim; text in proportional font is condensed and paraphrased.
p. 141	711.  Lucretia9 CORBIN (James8 Fones...) was born circa 1815 at Clark Co., KY.  She married Elisha George INMAN on 16 Jun 1831 at Lawrence Co., IN.  She died in 1870 at Scotland, Greene Co., IN...  Elisha George INMAN was born in 1813 at IN.  He died in 1861 at Scotland, Greene Co., IN.
	Transcriber's Note:  The author gives James Fones CORBIN the ancestry of his stepfather, Rawley CORBIN, which I don't consider a genealogically valid thing to do, so I've omitted it.  Clearly, Lucretia did not die in 1870 because she is still alive in the 1880 census.  They were farmers, living in the countryside of the indicated township, not in the local post office, where they would only have gone to pick up their mail.  Given their locations in the censuses, Elisha probably died in McCameron Twp., Martin Co., and Lucretia probably died in Taylor Twp., Greene Co.
	The eleven known children of Lucretia9 CORBIN and Elisha George INMAN were as follows:   2051.   i.   (Child) INMAN; d. infancy   2052.   ii.   William Caloway INMAN, b. 1836; m. 6 Apr 1865, Martin Co., IN, Nancy J. EATON; d. 16 Nov 1905, Watah, Benton Co., MN   2053.   iii.   John INMAN, b. 1837   2054.   iv.   Mary Ann INMAN, b. 1841   2055.   v.   Thomas INMAN, b. 1843   2056.   vi.   Norval INMAN, b. 1845   2057.   vii.   James INMAN, b. 1846   2058.   viii.   Elisha INMAN, b. 18 Sep 1847; m. Martha...
	Transcriber's Note:  Except for the first child, all the children are said to be born in Scotland, Greene Co., IN.  As the censuses indicate, at most only the last two children might have been born in Greene County and then in Taylor Twp., not the town of Scotland. James's age of "4" in the 1850 census was enumerator error; he was age 21 in the 1860 census.
p. 142	d. 1 Mar 1900; bur. Pleasant Ridge Cem., IN   2059.   ix.   Hannah INMAN, b. 1848   2060.   x.   Randall INMAN, b. 1850   2061.   xi.   "Delita" (sic) INMAN, v. 1852 ...
	Transcriber's Note:  No, I didn't skip Ziba.  He's not listed.

10.  Sandra Burbridge.  Descendants of Elisha Inman (online at RootsWeb/Ancestry freepages).

11.  Messages posted to the Greene County, Indiana, Location Board (online at RootsWeb/Ancestry).