Bingo! And good call on the date. I think it was built in 1893 or something close to it and yes, a several floors were added shortly after the previous photo was taken (1899). The following photos courtesy of
Henley's Hamilton.
According to Wikipedia, the Bank of Hamilton (founded in 1872) had upwards of 150 branches throughout Ontario and western Canada prior to its 1924 merger with the Imperial Bank of Canada. It was one of the last banks not headquartered in either Toronto or Montreal.
http://en.wikipedia.org/wiki/Bank_of_Hamilton
Here's one last view from the top of the bank down into the market area. The arrow marks the MacNab-Market-York intersection adjacent to the farmers' market. Just up MacNab you can see the Coppley building and just west on Merrick and Park is Dunn's (barely visible behind the warehouse at the corner). I'm not sure what function either of those buildings served when this photo was taken. Anyway, not much of that is left today.