Investigators determined Durham is the child's mother, according to Sheriff's Office Spokesman Jeff Williamson.
Detectives located Durham and interviewed her. She was been transported to a facility "for evaluation and treatment," according to the Sheriff's Office.
"The father of the child, who was in the room or in the vicinity, has said that he does want this child, does want to keep this child, and is fighting for that legally right now," Williamson said.
It's unclear if Durham will be charged. Records said she is from New York and was staying at the hotel with her husband.
Florida's Safe Haven law allows a parent to drop off a newborn at any fire station or hospital in the state, no questions asked.
"That really doesn't meet the intent of the law. We're glad that she passed off the newborn to someone else, of course, and didn't illegally abandon it," said Oviedo Fire Chief Lars White, the Seminole County chapter coordinator for A Safe Haven for Newborns. "(The) law requires them to physically pass off the newborn infant to an attendant, a firefighter, a paramedic or a nurse in the hospital."