dhearn,
Welcome to Treasure Net !!
Can you show us a pic of both sides?
As for the half penny option:The issues of George II from 1729 to 1754 are very common, with a more elderly portrait being used from 1740. After 1754 NONE (emphasis added) were struck until 1770, and the majority of halfpence in circulation seem to have been forgeries.
Regarding the farthing option: George II struck farthings in most years from 1730 to 1750, and also in 1754. The latter coin continued to be struck until 1763. A young head design was used until 1739, after which an older portrait was used.