That seems to be the case here with the old No. Five Fire Station, which was located at 208 East 32nd Street between Broadway and Elyria Avenue. The photograph below and accompanying caption calling for its demolition ran in the March 7, 1964 Lorain Journal.
Although it was no longer an operating fire station, the Fire Chief wanted to keep using it for storage.
Apparently he lost the battle because today a small, newer home sits at that address.