Said to have had these children —
.  Nathan CORBIN, b. ca. 1793; m. Mary ANDERSON — not the Nathan CORBIN (b. 1776) who married Sarah ENLOWS 
.  Lydia CORBIN
.  Sarah CORBIN
.  James CORBIN, b. ca. 1835 — impossible, Mary was too old to have a child in 1835

It's a stretch for Mary to have had a child in 1810 (Daughter E), but it's possible.  On the other hand, the ten-or-more-year gap between Abraham and Daughter E argues against her being their daughter.

1.  Marriage Record:

2.  1790 Census Index/Images (online at Ancestry.com; Image #5 of 46; extracted by Diana Gale Matthiesen):¤•

1790

MD

Harford Co.

Roll 3 (Book 1)

p. 74

Ln 3

John Corbin

1-2-3-0-0

These data indicate:

Gender and Type	Age Class	Therefore Born	Individuals Inferred
1 free white males	16 or over	in or bef. 1774	= John (b. 1760)
2 free white males	15 or under	1774-1790	= Nicholas (b. 1784) = Son A
3 free white females	all ages	in or bef. 1790	= Mary (b. 1763) = Daughter A = Daughter B

Also in Harford County:  Thomas CORBIN and Jacob CORBIN. 

2.  1800 Census Index/Images (online at Ancestry.com; Image #12 of 16; extracted by Diana Gale Matthiesen):¤•

1800

MD

Harford Co.

District 3

Roll 11

p. 78

Ln 10

John Corbin

31010-20010-00

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
3 males	9 or under	1790-1800	= Abraham (b. 1800) = John (b. ca. 1799) = Shadrach (b. 1797)
1 male	10-15	1784-1790	= Nicholas (b. 1784)
1 male	26-44	1755-1774	= John (b. 1760)
2 females	9 or under	1790-1800	= Elizabeth (b. 1800) = Daughter C
1 female	26-44	1755-1774	= Mary (b. 1763)

Also in Harford County:  John's father, Nathan CORBIN, Sr.

3a.  Census Index:  U.S. Selected Counties, 1810 (Broderbund CD-313):  not found, but the 1810 Ohio census was lost (except for Washington County).  Some tax lists are substituted, including ones from Clermont County, but there are no CORBINs in Ohio on this CD.

3b.  Clermont County Ohio — 1810 Tax List Index (online at the Clermont County OHGenWeb site; contributed by Hope Freeman Carnicle):  there are no CORBINs on this list.

4.  1820 Census Index and Digital Images (online at Ancestry.com; Image #2 of 12; extracted by Diana Gale Matthiesen):¤•

1820

OH

Clermont Co.

Ohio Twp.

p. 29/57

Ln. 01

John Corbin

000301-10101-0-103

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
3 males	19-25*	1794-1801	= Abraham (b. 1800) = John (b. ca. 1799) = Shadrach (b. 1797)
1 male	45 or over	in or bef. 1775	= John (b. 1760)
1 female	9 or under	1810-1820	= Daughter E
1 female	16-25	1794-1804	= Daughter D
1 female	45 or over	in or bef. 1775	= Mary (b. 1763)
1	person engaged in agriculture
3	persons engaged in manufacture
*In the 1820 Census, the third column is age class 16-18 and the fourth column is age class 16-25; therefore, any individual in column three is duplicated in column four.  By subtracting the number in column three from the number in column four, you can create an age class "19-25."

Listed four lines below John's widowed mother, Sarah (JAMES) CORBIN, and one line above Sarah ANDERSON. 

5.  1830 Census Index and Digital Images (online at Ancestry.com; Image #15 of 20; extracted by Diana Gale Matthiesen):•

1830

OH

Clermont Co.

Monroe Twp.

p. 235

Ln. 19

John Corbin

002 000 001 - 000 001 001

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
2 males	10-14	1815-1820	= ? = ?
1 male	60-69	1760-1770	= John (b. 1760)
1 female	30-39	1790-1800	= Daughter D
1 female	60-69	1760-1770	= Mary (b. 1763)

The two males born 1815-20 were not with our subjects in earlier censuses, so they cannot be their children.  They could be grandchildren or hired help, and certainly at their ages, they needed the help.

6.  1840 — can't find, but surely he is living with one of his children.

7.  1850 Census Index/Images (online at Ancestry.com; Image #12 of 46):  Monroe Twp., Clermont Co., OH, p. 6B, 84/84, enumerated 7 Oct 1850, official enumeration date 1 Jun 1850 (extracted by Diana Gale Matthiesen):•

Abraham C Corbin	50	M		Farmer	2625	Md
[Abraham's wife and children]
John Corbin	90	M		Farmer		Md
Charles Foolks	12	M				Ohio

Living three doors from John's grandson, Shadrach CORBIN (son of Nicholas). 

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

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