There used to be an Operator called "Golden West" as opposed to "Golden Wests". Not sure if the typo was a mistake on the coasters. They were around in the 80's. My Father sold machines to them in the early days. For some reason, games were returned with "Golden West" stickers on them. My Father used to call them "Golden PESTS".
I think the apostrophe in front of the "s" is to create the sentence on the coaster - "Golden West
's Pinball".