There's no US coin called an "old buck coin". What you have is a modern Presidential dollar worth face value only. The dates 1857-1861 are the years that James Buchanan served in office. The minting date 2010 is on the coin's edge.
They are worth about a buck apiece
I have heard buck used in reference to a young male slave.
Harry S Truman said "The buck stops here." He had it on a sign on his desk.
A buck is slang for a US dollar. Having ten bucks, is the same as having ten dollars.
buck-et
James Buchanan ,15th President , was "old buck"- a natural nickname for Buchanan.
Super Value Buck-Tick was created on 2001-12-19.
Old Buck
Harry S. Truman
A Buck?
'The Buck stops here' a sign to be found on the desk of President Truman. First put there 2nd October 1945
"The buck stops here" is a phrase that was popularized by U.S. President Harry S. Truman .
President Theodore Roosevelt Harry S. Truman, the "buck stops here" president.
Buck, Bucky, Buckle
Value is determined by the current condition. You did not state this information so no value can be estimated.
Fredrick, Ulysses "buck", Ellen and Jesse
You may be thinking of Harry Truman, who put a sign on his desk, "The buck stops here." It meant that the final responsibility fell on him.