Goes with my last two posts:
"Note: A similar transposition of olive branch and arrows appears on the reverse of many U.S. coins, from 1796 to 1885. Shown here is the half dime of 1800-1805."

Conclusion was: "In the absence of further information, the Dorsett seal may be counted as either the immediate predecessor or the earliest example of the seal of the President of the United States."
Mystery of the Dorset Die