Much of the impact of NH law on homeschoolers is covered in the "how-to" article by Mike Faiella.
Following is the link to the NH General Court laws concerning Home Education in the state. Be forewarned that the state's online record may not be up-to-date.
http://www.gencourt.state.nh.us/rsa/html/nhtoc/nhtoc-xv-193-a.htm
HSLDA (Home School Legal Defense Association) publishes a one-page summary, with some disclaimers.
Questions? For now you can e-mail Jim Parison.
Over the years we have had laws come up that would either improve or tear down our rights to home school. The following links provide a (recent) history of those laws.
2010 - HB 1580
2009 - HB 367 and HB 368
2008 - SB 337