Sure looks like the ball is dated "1924" not '34--especially considering the use of quotes around his first name. The Babe was in the Bay Area in October 1924, playing exhibition games and making personal appearances. That's likely the origin. He signed thousands of baseballs on trips like this.
Here's some newspaper coverage from an appearance in San Francisco and a preview of his visit to Oakland--and below that an ad from the SF Examiner with an offer you can't refuse. "Hey Fellers!"
