I am also researching the Dorame name, but have just started.
My husbands grandmother was Rita Dorame and she was born in (Hermosillo ?)Sorona, married to Francisco Marquez in Florence , AZ and died in Florence, AZ 5 May 1928 .I beleive she had a sister or niece named Eloise.
Her Father was Marceal Dorame and on her death certificate it gives his place of birth as Mexico.. My mother in law always said she was part French.
I'm pretty new at this and appreciate any help.
Thanks