The name of the town, and likely the team, comes from the St. Louis- San Francisco Railroad, popularly known as the Frisco [a name not real popular in some corners of California, BTW] the shape of whose logo is said to have been derived from a stationmaster who tacked a coonskin to the side of a depot to dry.
Though the Frisco railroad was later merged into the Southern Pacific, the politically correct will no doubt now want to burn down any surving restored depots....