There are over a dozen entries on p. 62-63 for institutions in Tampa in "Adoption Agencies, Orphanages and Maternity Homes: An Historical Directory" (published in 1982). 147 libraries claim to possess a copy of this book. This is according to WorldCat, an online resource accessible to librarians.
There are no entries for Ybor City or Ebo City.
The federal census of 1940 is expected to be made public after 72 years. It would contain entries for individuals residing in institutions of all types.