I have a family member who won 2 adult day passes. She can't use them and wants to give them to me. Will i be able to get in with out a problem even with the name of her work on the tickets.

I would call ticket office at Bush gardens and see if you can transfer them to you

Yes it should still work

This ticket wasnt purchased online. I have the physical single day adult tickets. The top line just reads: (her companies nome) ...of Florida with date of park admission.

I believe you need to provide photo identification for any pass/ticket purchased on line... so the same would probably be true for your family members passes