One is a spigot (the one with the fleur de lis)not sure of spelling on that, The handle T shaped one looks to be a cork puller possible not cork screw just puller.Did your site have a Tavern or an Inn there.
Really like the fancy gas lamp valve! My son has dug several linotype slugs, and we always try to guess what the rest of the words would've added to the meaning. Because he worked 10 years in a modern printing plant, finding these older-style items is fun for us. Closest I've gotten was to dig a very large metal #4 buried near where it had fallen from an old public volleyball court, lol. HH Andi