I posted Julia's birth year wrong, it was 1844, not 34. Thanks to you both for the information. I did find the census that had James and Mary listed as adopted, but never had any success in finding anything else. As for her birth registration, could you possibly paste that link to here for me? I've not found it yet.
In doing my research, I found that Mary and the man she married were related, Mary's mother was Julia Leclaire and Paul's mother was Felicite Leclaire, who's father was Julia's brother Antoine.
Julia had 6 children, all with different fathers, so it's been somewhat challenging at times to get the information that I have been lucky to find.