There are no laws in New Hampshire that allow a minor to seek emancipation from their parents.
Aside from that, how would you propose to support yourself at the tender age of 14. In any state that does allow minor initiated emancipation there is a requirement of self support.
I would suggest you speak with your school counselor. If this is not possible or you have a true fear for your safety, call the child pretective services inyou area.
Truthfully it sounds as you are simply going through what millions of other teenagers must endure as they become adults. Without any fear of harm, you are simply your parents child and must endure until such time you can legally live on your own.

