Hi Jerrie! Could be a transcription error, but FamilySearch.org has her name as Betsey Carper. "Virginia Marriages, 1785-1940," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:XRHJ-Q8N : 11 February 2018), Hedgman Smith and Betsey Carper, 20 Aug 1810; citing Culpeper, Virginia, reference P 20; FHL microfilm 30,927.
Abijah and Lucy were married in Culpeper, VA. "Virginia Marriages, 1785-1940," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:XRHV-M22 : 11 February 2018), Abijah Smith and Lucy Ann Gaines, 14 Dec 1837; citing Culpeper, Virginia, reference P85; FHL microfilm 30,927.
Here are Abijah and Lucy in the 1850 census: "United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M8DJ-TTS : 12 April 2016), Abijah Smith, Page county, part of, Page, Virginia, United States; citing family 1020, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).