There aren't that many funeral homes in the Gainesville area. I would suggest using Google to get their names and phone numbers, and calling them to see if they handled your family member's funeral.
Likewise, check with some of the larger cemeteries: e.g., Forest Meadows, Evergreen.
Finally, Jim Powell and a wonderful group of volunteers are working hard at surveying all of the cemeteries in Alachua County. Check out his website: http://wizardofar.org/