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It's a vase, right? Is it heavy - have some weight to it?

I suspect it is majolica, possibly an American version of the very fine figurals (including stork vases) made by Minton, Wedgewood, Holdcroft, and George Jones. American potters made copies of what they knew from the Old Country and created an affordable product for the American market.

Much of the American majolica is unmarked or might have a blotch of glaze or something stylized by the "artist"; glazes a little less jewel-like and more mottled and just basically quirky - the craftspeople were a little less skilled and tended not to live long lives having to deal with the lead based base coat and metal oxide glazes.

Two of the most recognized American names are Griffin, Smith and Hill (pieces marked Etruscan) and Chesapeake Pottery.

There's a lot of info on majolica on the internet.

There are also lots of reproductions and fakes - many of them very good.