I don't know if there is any way to identify this if there are no markings. It may have been part of a commercially made bench, and the bench itself may have had the maker's mark. I suspect this came as part of a whole bench.
The end of the screw, where the handle runs through, makes me think it is more recent than not since the earliest examples I've seen are round -- just like the earlier all metal vises.
It looks to be in good usable condition, and some of us appreciate a wood screw bench vise, especially one that has some antique value. This one has more appeal for me than some brand new vise.
I found one similar vise on ETSY, but no indication of price, since it has been sold already.
A newly made wood screw and nut -- just the screw and nut -- ran $135. Antique leg vises with wooden screw and nut are offered on eBay at $40, $50, and $79, but no bids have been made on them. There is one for $19-something that currently has one bid.
The threads on this one are in better condition than those I have seen for sale. It's quite a good vise.