Did you search for obelisk?
Here are some different T. Limoges marks, this time supposedly Italian:...
I found the mark on here: http://manufrancois.free.fr/index_fichiers/Page6120.htm Emile Madesclaire
No it's American dinnerware--Ranson by Scio, with a lot of staining around the edges.
https://www.etsy.com/listing/289987389/vintage-retro-tea-pot-sugar-bowl-and?ga_order=most_relevant&ga_search_type=all&ga_view_type=gallery&ga_searc...
I think this is from a line called Kiln Craft, by Staffordshire Potteries Ltd.
A google image search of batter jug bail handle brings up a lot.
Your mark is on this page: http://www.porcelainmarksandmore.com/germany/thuringia/rudolstadt-01/index.php
China painting was a popular hobby. It doesn't matter who made the blank--it's all about the decoration.
It looks like it was made by a student.
Your little Japanese vase #6 just says Kutani sideways.
It is the artist's mark. You may never identify it. I found a couple of other vases with an X after the initials, and they said it meant "by",...
I found another with this mark on ebay France--Rene Nicole.
I think it's a fake mark, but let's see what everyone else says.
If it has a white underglaze, it's well-hidden.
How about if you google Royal Copenhagen 4171?
It says J & MPB & Co., for Bell Pottery, Glasgow.
Homco is swords with a little O between the blades. I think this one is Arnart.
It's a pitcher or ewer, maybe part of a wash set.
I think it says Glasgow under the initials. Maybe Campbellfield? Janet
Separate names with a comma.