I am probably not related to your Girards but i thought would take a look see at the censuses. I found James and Angeline in Buffalo 12th ward Erie co. NY P. O. North Buffalo In 1860 census: Cooper James 37 b Ireland occ Cooper Angeline 27 b Canada Matilda J 7 b NY William A 5 b NY Mary J 2 b NY
I 1870 census I find them in Illinois in the city of Homer will co. P.O. Goodings Grove: Cooper James 50 b Ireland occ Cooper Angeline 38 b Canada Jane 17 William 15 Ida 12 Melissa 9 Eliza 5 Rhoda 1 Elizabeth 4/12
One house away lived a Angeline Girard living with a Alfonze Austin: Austin Alfonze 24 b NY Austin Florence 6/12 mos old Girard Angeline age 63 b Canada Housekeeper
This may be Angeline Coopers mom. Hope this helps.Good luck. I did not look for Fred Girard in the censuses but I have heard of him.