Saint Petersburg, FL Searching for Birth Parents

Hi I am a female born 2-15-64 in Saint Petersburg, FL, at St. Anthony's Hospital and adopted through the Chrildren's Home Society. It is possible that my mother was short with blond or strawberry blond hair, unknown if married, with a possible thyroid condition. The man who was with her was tall with dark hair, unknown if he was my father. This is my first attempt to find my biological parents. I have a son or my own an he will some day have grandchildren. I would like to know my roots for myself and for my son.