I sent you an email thru another website, but since i saw your post in 2011 here I decided to send this one.
I beleive I have found antoine's parents, which is actually spelled Anthoine Babin. His father is Christophe Babin & his mother is Renee Rou. They are from Ulmes, France. This is slightly different than LaChaussee, France but is in the same area. Anthoine was born 6-5-1620 (actually baptised, so considered born on that date) & had twin sisters Jeanne & Marie born 10-21-1821.
Below is the website for the research done. scroll & click on Anthoine Babin & it will take you to the detail, but it is in french & will need to be translated thru WORD.
http://philippe.caillebeau.free.fr/recensement.htm