The Republic of Indian Stream was a small area of land near Quebec (or New Hampshire for you Americans) that was a result of a poorly worded border claim, it resulted in a 731 square kilometer section of unowned land named the Indian Stream. Despite being just a lack of foresight in the wording of the treaty, the 300 residents of Indian Stream took it very seriously, declaring themselves an independent republic on July 9th, 1832.
Even assuming it keeps its borders and doubles in population every 46 years, it would be the 176th largest nation (Taking Singapore's place) with the second smallest population, only better than the Vatican State. Obviously, such a country couldn't be strong or powerful, but that is not necessary.
In the real history, The Republic of Indian Stream was annexed by New Hampshire in 1835, but does this need to happen? What is the smallest historical difference I can make to prevent this annexation?