A couple of fine finds you have there.
1. Well not so sure about the history of these items, but see them all the time have a couple of Horse bookends made of these carved stone items, if I was to comment on this it would be Mexican tourist trap item, but I think these was really in vogue in the 60's and 70's
2. Now the Tea cup Nice, at least I have a thing for teacups now, Wonderful Color and would be a 5 on the collector list, Not sure about the hallmark but like I said earlier I will be looking for this after I'm done here. However the biggest thing going for this cup is the Occupied Japan mark. This little cup has lots of collectors looking for it, top if off with the wonderful blue color. You just might get $50.00 for that cup, but I would say $35.00 to $40.00 without knowing about the hallmark. I really like that cup. Oh yea plus it has a unique shape on the saucer that may get you a couple more bucks.
3. Not sure I can say much about the vase, kinda cool looking stoneware Vase, It has lots of character, but will eat lots of crow if I comment too much
4. Now here is a piece of fine pewter. Homan was started in 1847 by Henery Homan and Asa F. Flagg under the name Homan & Co. Some piece are marked flagg and Homan, This is a uncommon Hallmark for them, bingo #1. They made britannia ware until Flagg died in 1854, by 1864 they started to Electroplate Silver and phase out it britannia ware. And was out of Business in 1941. So what I am reading and looking at is a possible really cool item. If I'm reading my books right that would place this item in the pre 1850's with a hallmark that is uncommon. I may be eating some crow on this post but I see something really special here.
Now I need to go look into that hallmark.
Good Job