What kind of lamp is this lamp and what kind of shade does it take?!

This appears to me to be a homemade lamp made of a ceramic pitcher. In fact, the top section does not even have the screw thingie to attach a shade. Given that, if you want to keep it as a lamp I think you'll just have to search around for a shade you like that you can them make work with what you have. Generally, the shade should be worked out mathematically:

http://www.howtodecorate.com/2011/07/perfect-lamp-shade/

I agree - that looks like a custom job that might have had a custom shade - I am thinking that the fluted glass covers you see on ceiling fans (which are a dime a dozen at most thrift shops or Habitat 'ReStore' shops) might fit that ring well enough....

I suspect that it had something ruffled and beaded and fringed, originally.

Yes, Homemade using a TEAPOT I would say you would need a round shade that is narrower at the top and 2" wider than the Teapot at the bottom. The shade would just sit on top of the frame holder. Maybe Pink? Good luck!

An inverted glass bowl would sit on there nicely! I don't know if it will heat up though.

I have an antique pink glass shade with a center hole that would be beautiful! I bet you can find something like that.

: )

The bracket looks like it was made to support a ceramic upper portion which may or may not have been a custom piece. It's difficult to know without more information. You can certainly look about for a substitute that appeals to you. Here are some examples of how that might look.

Have you tried searching for kits that convert objects into lamps? One of them might have the same kind of contraption on it in which case it should also explain how to use it.

Target has some lamp shades that have a different configuration for where it attaches to a lamp. You'll have to go look yourself, because Target doesn't explain or show that part of the lamp shade on the product description page.

I think any lampshade will work, as long as it will sit on top of the round thing on your lamp...take it with you to a place that sells shades and you will find one, I am sure. You would be sitting the shade on the round piece, but I don't know of anything that will hold it on...Should be cute.

any kind of a lamp shade other than a bulb click on type, could be used over the framework presently in place.

That is called a Handel Harp. Emily right it will look fine with many shades, they

will just sit on it. The structure heaiver, usually a matching ceramic shade would sit on it. Your lamp looks to be from the 50's but most likely a replica, they remade them from late 80's onward.

Have one just like it, came from Cracker Barrel a few years ago. Mine has a small nite lite bulb, shade is same as tea pot just sits on the frame, has same flowers as pot.