Hi Mark,
Generally I think you're correct. For players that weren't household names as long as the bat has been deemed to be a professional model from the era during which that player played you can be relatively certain that the bat was made for them to use.
Outside of that, determining whether or not a particular player used a certain bat can be a bit more difficult. For super rare players just having a bat with that players name on it can be enough for some collectors.
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Tim Byington
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