I'm living in Puy-de-Dôme.
It's pretty difficult to find exact proofs before 1600, not a lot of sources still exist or are in a correct state.
It seems that this family is pretty well documented as "de la Fayette" family. Motier was their other name.
They were ruling quite a lot of lands, so the research will be difficult as we don't know where he died.
On these family trees, you have a very detailed view of the family
It seems there are books with few references on his parents, they may have been married on the 7th of January 1508 , and had 7 boys and 4 girls.
I might go in 2 weeks from now look for some archives, I will try to find the books.