Keene, New Hampshire. $5 1902 Plain Back. Fr. 598. The Keene NB. Charter #877. PMG Extremely Fine 40.A very important higher grade offering on this western New Hampshire town, one of only a few in the census that bears the Very Fine grade. A typical tri-fold is mentioned for circulation. The banking signatures remain bright. This town is home to Keene State College.pOn February 2, 1865, the stockholders of the Cheshire County Bank (a different institution from the Cheshire Bank) transferred the business to become the Keene National Bank. The capital was authorized at a maximum of $300,000, but the directors selected $100,000 as the amount desired.