That mark and address makes it the london tyzacks , all the tyzacks were hugenot refugees fleeing religious persecution from Lorraine in France and started out as glassmakers
http://www.tyzack.net/hackney.htm
Only reference to a thompson V - 500 vise I could find was on the thompson sub machine gun forum, someone else had one and was looking for info, trail goes a bit cold after that but conclusion there was it was a vise for tyre fitting
Looks like toolsntats bang on here's one made by mathieson
https://www.toolbazaar.co.uk/products/superb-mathieson-sash-meeting-rail-plane?variant=43455773573281
I have several vices some of them I'd rather not talk about on a public forum but I only have 3 vises a parkinson perfect a record no 5 and a ward and payne no 2