Did Alexander Hamilton hold this coin?

WASHINGTON (AP) — Old inns along the Revolutionary War trails boast of George Washington sleeping there. But coin experts say they have found the first silver piece minted by the United States — one likely held by the most en vogue of Founding Fathers, Alexander Hamilton.
David McCarthy figured the silver coin had to be one-of-a-kind after spotting it in the auction catalog.
Its front features the all-seeing eye of God, surrounded by rays of light. The rays shoot out toward 13 stars