Not to be argumentative, but to my knowledge the exact opposite is true.
The original painting would be your property - not the copyright.
They need to be thought of as two different things. You can purchase a painting, and you can purchase the copyright to a painting.
Uhhh....
Here, this makes it pretty clear. Check out section 202 of the copyright laws:
"§ 202. Ownership of copyright as distinct from ownership of material object
Ownership of a copyright, or of any of the exclusive rights under a copyright, is distinct from ownership of any material object in which the work is embodied. Transfer of ownership of any material object, including the copy or phonorecord in which the work is first fixed, does not of itself convey any rights in the copyrighted work embodied in the object; nor, in the absence of an agreement, does transfer of ownership of a copyright or of any exclusive rights under a copyright convey property rights in any material object."
U.S. Copyright Office - Copyright Law: Chapter 2
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