I have a James Monroe, presidential dollar, uncirculated, where the inscription around the outside of the coin, is upside down..... is there a value to this coin?
The edge lettering has been both ways up on all the Presidential dollars. There's no real premium for having the writing on way up as opposed to other as far as I can tell.
The edge lettering is pressed into the coin edges in a process separate from minting the coin. The coins are fed into the edge lettering machine randomly so half will have edge lettering in one orientation and half will have edge lettering in the other orientation. So your coin is worth $1.
I contacted the Mint and according to the person I spoke with, all the presidential coins are supposed to be printed, face up; that's why I asked that and she asked me to return the coin.
That is true of proofs, and she probably thought that since you were calling the mint, it was about a collector coin - i.e. a proof.
The Bureau of Engraving & Printing prints currency. The US Mint mints coins. I doubt the US Mint would tell you it prints coins face up.
"Mints", "Strikes", or "Prints" are probably all the same to our well educated "civil servants" nowadays. Accurate use of the English language is a dying art!