It's a neoclassical form; it is upholstered without a definite seam from the seat to the back. The sweeping line reminds me of British Colonial somewhat. I would love it in a burgundy tufted leather.
Casey

I believe I would call it Gothic Revival.
There is a picture linked of a very similar chair.
It's of the same era as the Lincoln rocker and very similar in style but without the rockers....and I would upholster it in a plush or cotton velveteen and tuft the back....or not.
Here's a link to a lincoln rocker.
http://www.liveauctioneers.com/item/6349345
Linda c

Here is a link that might be useful: Arm chair

Thank you both for responding.

Casey, I plan to put the chair in my guest room that is British Colonial inspired. I'm glad you agree. I, too, would love to see leather, but my skill set and budget can't handle it. Maybe someday!

Linda c, the chair you posted is definitely similar. I will look for more Lincoln rockers for inspiration. I do think velvet is the way to go for this chair. So velvet it will be!

In the meantime, I found this picture in one of my Miller guides. Pardon my poor photography...my scanner is broken. Now to decide whether to do a continuous seat/back or separate them like in the pictures. Thanks again!