Mark, this is normal behavior for a baby that is orphaned. The baby needs help. This scenario is very common. We hear it all the time. “A baby squirrel just climbed up my leg.” I don’t know if you have access to a microwave or not but a water bottle with warm water wrapped in a T-shirt or similar cloth (Not a towel) would provide warmth for the baby until you can find a rehabber tomorrow. They also like burrowing under cloth. It’s pretty warm outside tonight but usually baby squirrels like a heat source. Make sure it’s not too hot.
I know you had storms tonight in St.Pete and it’s still raining. You might try to reunite with the mom in the morning. There is usually more than one baby. I would look for others in the AM and try to reunite the family. That is the best case scenario.
By the way.