Any State Court in the nation could subpoena the original if there was a dispute in law that is within their jurisdiction.
It's technically possible for a county Sheriff to initiate such a dispute in law.
I know that Arizona has presidential candidates state that they are natural born citizens of the US before they can be put on the ballot.
And here it is...I had it. :-)
Sheriff Arpaio may be able to initiate an investigation now based on this 2008 AZ ballot access document that was signed by Obama on Nov, 30, 2007.
Many do not relize that a duly elected county sheriff in many states is one of the most powerful LEO in the land, and especialy so in his county.
IIRC, only a sheriff can form, arm and swear in a posse.
I think the crux of the sheriffs action would be in a fact or facts that some law of Arizona or law having force in Arizona was breached by Obama within time limits.