The Harmony Barber Shop on Main St does haircuts. It's the same place where you got her bangs cut as a baby. If she's 2 now then they're in the same location (left side near the fire station and back stage entrance). Ihave heard they were somewhere else previously.
I have 3 girls, both of my youngest have have their first haircuts there (at 2! lol) and time my oldest and my dh have had their hair cut there 3 times. Most of the stylists do a good job. Steve is our favorite, but he wasn't there the day we went this year. Haircuts are $14 for children & 17 for adults. They take cash, credit and room charge. Go early, or later because there tends to be a line since there's only 2 chairs. Hours are 9-5.