Dr.: Gramps vise is probably a old English made Peter Wright from the late 1800's to early 1900's. sorry i can't see any markings, but there might be some numbers about the height of the top of the coke can on the side facing in your first picture. PW's markings would be above that. i'd take a rag with some Simple Green or WD 40 on it and rub off some of the dirt and rust off the upper half of that side to see if anything appears.
i wouldn't change a thing about that anvil unless i started blacksmithing and needed a super smooth surface and square edges. i can say your Gramps probably hit a lot of cold steel on the anvil because of the chipping off the square edges that has occurred. please to save that anvil do any cold steel pounding on a big piece of RR track or a thick steel plate welding table and leave the anvil for hot metal pounding.
i'll keep my eye out for more details if you find any, but happy to hear you have Gramp's anvil and it looks great on that stand so find a good place in your garage/shop for it to reside another 20 or more years.
also by the measurements its probably around 100 pound anvil and here's a few pictures of a 97 pounder i used to own so you can see where the #'s are and how faint the name is on these awesome tools.
Happy Holidays