Identify the linked classical music piece by composer and title:

<a href="http://home.comcast.net/~cory.potter/IdMe.mp3">Partial</a>

<a href="http://home.comcast.net/~cory.potter/IdMe.wma">Full Version 
</a>

This seems to be one movement of a Flute Concerto, and the style
sounds extremely like Vivaldi. Or, perhaps Haydn or Bach ...in that
order. It is definitely a Baroque or possibly early Classical-period
piece.

Hmmm I'm not so sure, although anyone is forgiven for thinking so.
There are some twentieth century parodies that have been written to
sound like Baroque pieces, and this sounds a little dubious to me. The
instrumentation is odd, sounds like period instruments, or maybe
that's my speakers! Anyway, the fact that there is a harpsichord
continuo rules Haydn out, and other classical composers too, they
didn't use it! It sounds like Bach, Vivaldi and most Baroque
composers, I'd have said Bach upon first hearing it, but I'm not
familiar with the piece. I would be weary placing it in the baroque
era though merely because of the parodies and pastiches out there from
the twentieth century, you may hear harmonic structures and rhythms
that don't seem characteristic of baroque.