I am not an expert but I thought I would comment as I am wondering what the answer is to your question. Like you I have a 6' Valley pool table in my house. It has been passed on from my dad who bought it from a local bar that was closing around 1975. I have reserched these tables quite a bit and I have found out that the first coin operated tables came from Valley but they were not built until around 1965. If you search for Valley company history you will find the story of how Earl Feddick was the inventor and builder of the first Valley coin op tables. I can assure you that my table was hand made. When I remove my slate and look inside all the guts of the table are wood and were cut and made by hand. As far as the value of the table, I have been told not much. For some reason I have a hard time beleiving that. One other thing that I thought was interesting, my table has a serial number on one end and above the serial number is a plate that says patent pending. I assume that means that at the time of production there was not a patent for coin op tables. Hope this helps.
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If the table is marble surfaced rather than slate, it is unique and may have significant value. Unique as it is, only an auction would find its best price. However, a typical 1950's coin operated pool table would otherwise have a value of well under $1000.
Coin operated bumper pool tables have limited value, this is worth about $300 if complete and in good condition.