William Thomas Finlay was a merchant, politician and cabinet minister in Alberta and Northwest Territories, Canada. Finlay served as the second mayor of Medicine Hat, represented the electoral district of Medicine Hat in the Legislative Assembly of Alberta, and served in the Cabinet of Alexander Cameron Rutherford as Alberta's first Minister of Agriculture and Provincial Secretary from 1905 to 1909.

Medicine Hat was a provincial electoral district in Alberta, Canada, mandated to return members to the Legislative Assembly of Alberta from 1905 to 1971, and again from 1979 to 2019. The electoral district was named after the City of Medicine Hat.