A mysterious fire ravaged Vino Sano’s San Francisco wine brick factory on Oct. 28, 1932. The blaze ended their lengthy run and signaled the rapidly approaching doom for the entire wine brick market.

The museum’s Vino Sano Grape Brick — its commercial name — is so rare that it was featured June 29 in a segment of “Mysteries at the Museum” on the Travel Channel.

Known as Vino Sano, selling at $2 each, these nonalcoholic wine bricks were flavored sherry, champagne, port, claret, muscatel, et al. Instructions came in the form of warnings against dissolving ...