Hi,

Asa Dodson
Married: 13 Sept 1803, Pulaski Co. KY
Nancy Wolverton
Source: Kentucky Marriages 1802-1850

Thomas Asa Dodson
Born: 1780
Married:1803, KY
Nancy Woolverton
Born: VA, 1782
Source: U. S. & Internation Marriage Records 1560-1900

Asa Dodson, widower
Est. Birth: abt. 1780, Pittsylvania Co., Virginia
Residence: Graves Co., KY
Married: 18 March 1855, Graves Co. KY
Susan Cawthorn
Residence: Graves Co. KY
Born: Todd Co. KY
Source: Kentucky Marriage Records 1852--1914

Asa Dodson
Born: Abt. 1779
Father: David Dodson
Mother: Elizabeth Dodson
Residence: Graves Co. KY
Died: 20 Aug 1855, Graves Co., KY
Source: KY Death Records 1852-1953

Asa Dodson
Born: May 28, 1780, Pittsylvania Co., VA
Died: Aug 20, 1855, Graves Co., KY
Buried: Dodson Cemetery, Graves Co. KY
Source: www.findagrave.com which includes some family info

He had a son.

James Dodson
Born: abt. 1817
Father: Asa Dodson
Residence: Graves Co., KY
Died: 3 Nov 1853, Graves Co. KY
Source: KY Death Records 1852-1953

When you mentioned that the courthouse burned, I take it that the will/probate records are gone.
What about the land records?

Do you have a copy of his death notice? Family members might be mentioned in it. You can contact the Graves County Genealogical Society, PO Box 245, Mayfield 42066-0245 or the Graves County Historical Society
PO Box 245
Mayfield 42066

There is some info about surviving Graves County records at http://kykinfolk.com/graves/obook1853_56.html. Successful Searching!