Dear Canadianwhitetail
I wish I could help you more but the Westmorland Bank started issuing note in 1854 which means we are either taking about the wrong bank or wrong date.
The bank operated from 1854 to 1867, there notes hold the city of Petticodiac or Moncton. The denominations range from $1, $2, $4 $5 and $20.
Perhaps a scan or more detail would better help us determine your notes value. As realistic prices for this bank range from $50 to $1000
Regards
Kid
