Any additional information would be helpful - I find no record of any Presley Morris in Ohio County, Kentucky at all. Nor any record of a Meriah Pierce in Ohio County, Kentucky.
Do you have their children? Or Meriah's parents?
I did find a related question on the ancestry boards (dated 1998), but it says he married Temperance Modglin in 1818 and moved to Green County in 1820.
If this is the case, I do see his 1820 Census data:
"United States Census, 1820," index and images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XHLR-CK7 : accessed 22 April 2015), Presley Morris, Summersville, Green, Kentucky; citing p. 77, NARA microfilm publication M33, (Washington D.C.: National Archives and Records Administration, n.d.), roll 20; FHL microfilm 186,180.
Expanding my search, he married Meriah in Indiana...
"Indiana, Marriages, 1780-1992," index, FamilySearch (https://familysearch.org/ark:/61903/1:1:XF8P-HMG : accessed 22 April 2015), Presley Morris and Meriah Pierce, 19 Oct 1828; citing reference 27; FHL microfilm 549,442.
"Indiana, Marriages, 1811-1959," index and images, FamilySearch (https://familysearch.org/ark:/61903/1:1:KFF8-HCJ : accessed 22 April 2015), Presley Morris and Meriah Peirce, 19 Oct 1828; citing , Spencer, Indiana, county clerk offices, Indiana; FHL microfilm 1,321,758.
Appears they were married by a Charles Pierce (related?)
If the previous question was accurate, and he married Temperance in 1818, moved to Green County, then later moved to Indiana, married Meriah in 1828, moved to Ohio County and died there, then it's possible that the above information is all related to your Presley Morris.