1a.  Jordan R. Dodd, ed.  1993.  Kentucky Marriages:  Early to 1850.  Liahona Research, Orem, UT (Broderbund CD-229):

Mccord, William	Bradley, Elizabeth	1 Sep 1803	Fayette Co.
Cansler, Golden	Mccord, Elizabeth	1 Nov 1835	Christian Co.

Did William die and Elizabeth remarry?  Or is this a daughter or niece?

1b.  Elizabeth Prather Ellsberry, compiler.  [1965?] Marriage [Bond] Records of Fayette County, Kentucky.  Self-published, Chillicothe, MO (online at Ancestry.com):

William McCord	Elizabeth Bradley	05 Aug 1803
Hezekiah Bradley, B.; Salley Gordon, W.; John Bradley, F.
B = bondsman; W=witness; F=father

2a.  Census Index:  U.S. Selected Counties, 1810 (Broderbund CD-313).  Please see my WARNING regarding use of this database (the numerical data have the genders switched). 

1810

McCord, William

KY

Christian Co.

p. 62

10100-1001000

2b.  1810 Census Index and Digital Images (online at Ancestry.com; Image #10 of 66; extracted by Diana Gale Matthiesen):

1810

KY

Christian Co.

p. 62/524

Ln. 5

William McCord

10010-10100-00

These data indicate:

No. & Sex	Age Class	Therefore Born	Individuals Inferred
1 male	9 or under	1800-1810	= Son A
1 male	26-44	1765-1784	= William
1 female	9 or under	1800-1810	= Daughter A
1 female	16-25	1784-1794	= Elizabeth

Listed four households from Elizabeth's father, John BRADLEY. 

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

4.  WorldConnect (online at RootsWeb.com).