Sadly, my search through the Florida Photographic Collection didn't turn-up any Brooks material. However, I did find a few images of movie stars (such as Evelyn Nesbit and Lupe Valez), and a few images of film companies on location in the state during the silent film era. The image below depicts Theda Bara shooting a scene on a beach in Florida.
A keyword search under "motion pictures" will lead you to relevant categories under which to browse or search for images. I will continue to poke around the website in hopes of finding other related material. Perhaps something related to Brooks' time in Florida as a nightclub dancer will turn up.