Oliff family

My great grandmother was named Rebecca Oliff Hogan Green. Another relative in Perry, Florida was named Mary Oliff Kelly.

A common practice in the 1800s was to use the mother's family name as the middle name of children. I haven't been able to figure out how we are related to the Oliff family.

I wish I could solve this one since one of my favorite aunts is Freida Wilson, who was born Freida Oliff King. She married my great uncle Walt Wilson. Freida was named for her mother's family. It would be nice to find we are related to Freida by more than marriage.