This building was once prominently located in downtown Tampa, as was the house you can see to the left. The large Italianate building has been replaced and the house has been relocated. The site now showcases a prominent Tampa landmark. Do you know where they once stood? The first correct guess wins a T-shirt from Tampa Preservation, Inc.
See the comments below for the answer.
Here is a map of the site as it looked in 1903 with the old City Hall building shown in the photo: