Welcome to the club of the confused. I have heard from my older brothers and sisters that my Grandfather's name was
Alexander Isenberg and although not sure, Mollie sounds like my Grandmother's name, at the moment I'm conducting an extensive research to bring this incognita to a close. By the way my father's name was Abraham Edward Isenberg and he was born in Russia in 1895. In the event that I find further information, I will share it with you.
In the mean time I wish you luck in the search of your lost ones.