From Halopedia, the Halo wiki
Jennifer Francine Cole was the mother of Admiral Preston Cole. She was married to Troy Henry Cole.
At the age of twenty-one, she was arrested and later released on one year parole for protesting taxes. She later lived in the rural reconstituted township of Mark Twain, Missouri on Earth, where her family struggled to make ends meet.
Both of her grandfathers served in the Rain Forest Wars, with the surviving one, Oliver Franks, receiving the Bronze Star.