The one on the bottom right purports to be a New Hampshire Halfpenny from 1776
Obverse: Pine tree with 1776 divided by trunk
Reverse: AMERICAN
LIBERTY around
border. WM at center
If it's real, it would be fairly valuable. Also very very very
rare.
There are, however, lots and lots and lots and lots of replicas floating around. Yours looks like it has a big blob where the word "COPY" would typically be stamped.
I'd say that it would be just about impossible for one of those to appear in a
hoard of relatively low grade, low value
Byzantine and
Roman coins....
It is not totally impossibe, however. A citizen of New Hampshire, who was also an anceint coin collector, could have taken a vacation to
Portugal shortly after America declared its independence. In
his pockets, the collector
had his collection - fearing it would be confiscated by the British - and some newly minted New Hampshire spare change for spending
money. While hiking in
Portugal he was attached and eaten by a small pack of Portugese genets. Alas, the then newly minted halfpenny fell to the ground (with the other coins that happened to be over 1000 older than the halfpenny) or were eaten and eventually "passed" by a genet.
Hundreds of years later, the coins were dug up in Beja,
Portugal.
Alternatively, the coin is just
fake. I'm guessing
fake.
Photo of
replica below: