It's very unlikely they had four children within three years of being married, though four children in ten years would be about average.  Any number of scenarios could explain the situation, but given the parent's ages, the most likely explanation is that the marriage date is wrong or that one or both of them had a former spouse.

1.  Jordan R. Dodd, ed.  1993.  KY, NC, TN, VA, WV Marriages:  Early to 1850.  Liahona Research, Orem, UT (Broderbund CD-229):  not found.

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

Obadiah WOODSON Birth: 16 Apr 1792, Prince Edward, Virginia Father: Daniel WOODSON; Mother: Elizabeth JONES Source: patron submission

3a.  Census Index:  U.S. Selected Counties, 1820 (Broderbund CD-314):

1820

Woodson, Obediah

TN

Montgomery Co.

p. _

200110-20010

3b.  1820 Census Index and Digital Images (online at Ancestry.com; Image #5 of 32; extracted by Diana Gale Matthiesen):

1820

TN

Montgomery Co.

p. 116/217/265

Obediah Woodson

200110-20010-0-200-1200-0000

These data indicate:

No., Race, Gender	Age Class	Therefore Born	Individuals Inferred
2 white males	9 or under	1810-1820	= Son B = Son A
1 white male	19-25*	1794-1801	= ?
1 white male	26-44	1775-1794	= Obadiah (b. 1792)
2 white females	9 or under	1810-1820	= Daughter B = Daughter A
1 white female	26-44	1775-1794	= Judith (b. 1786/7)
2	people in agriculture
1 male slave	13 and under	1806-1820	= ?
2 male slaves	14-25	1794-1806	= ?
*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."

The male age 19-25 is too old to be a child of either Obadiah or Judith; he could be kin, hired help, or a boarder.  Considering that our subjects have three slaves, the extra white male is probably kin.  That is, they obviously have money, so they don't neet to take in boarders; and, with three slaves, it's unlikely they needed hired help.  They are listed four lines below Joseph WOODSON and one line above Elisha R. OLDHAM.

4.  Census Index:  U.S. Selected Counties, 1830 (Broderbund CD-315):  not found, the widow must be living with someone.  The only WOODSON in Christian, Todd, or Trigg Co. was Miller WOODSON.

5a.  Census Index:  U.S. Selected Counties, 1840 (Broderbund CD-316):

1840

-

-

- Co.

- Twp.

p. -

5b.  1840 Census Index and Digital Images (online at Ancestry.com; Image #16-17 of 98 (image 17 is currently missing); extracted by Diana Gale Matthiesen):

1840

KY

Christian Co.

p. -

Judith A Woodson

000 010 - 000 010 010

-

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	20-29	1810-1820	= Son B?
1 female	20-29	1810-1820	= Daughter B?
1 female	50-59	1780-1790	= Judith (b. 1786/7)

Listed one line above Abraham VENABLE and four lines below John P. FINLEY, who is 13 lines below William POOR.

6.  1850 Census Index/Microfilm (online at GenealogyLibrary.com):  District No. 2, Christian Co., KY, p. 376B, 261/279, enumerated 27 Aug 1850 (extracted by Diana Gale Matthiesen):

Judith A Woodson	63	F		1500	Virginia
Mary A Markum	14	F			Tennessee
John D Brummell	31	M	Overseer		Virginia

7.  Message #270 in the Christian County, Kentucky, Forum (online at GenForum.com).  A letter, dated 4 Jun 1825, written by James B. GALBREATH of Christian Co., KY, and generously posted by Matthew Harris, in which GALBREATH describes the deadly fight between Obadiah WOODSON and Samuel GORDON.

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