Hope you are still out there.Here's what I have determined through census searches and elsewhere:
JOHN MILLER5 KAVANAUGH (William Woods,4 Philemon III,3 Charles,2 Philemon1), the son of William Woods and Elizabeth (Miller) Kavanaugh, was born near Richmond, Kentucky, 31 December 1799 and died 13 January 1881 at the home of his daughter and son-in-law, Mathew and M. M. Carr, Erath County, Texas.
Don't have much on Lucy Ann, except what was on the 1850 census. Could you give me her BMDB? And, children?
Kavanaughs are not my family, but am helping a cousin with a book on the Clay, Bruce, and Kavanaugh families of Kentucky.