Yes Frank this is true. As a matter of fact when you renew your fishing license it comes with a small book stating this fact. Here is a link to the New Hampshire site with details about it.
New Hampshire No lead Article And after doing some research it seems other states are jumping in on this one too, such as Mass.
Here's some details from the article
State law prohibits the use of lead sinkers and jigs in all fresh water in New Hampshire, including lakes, ponds, rivers and streams. The ban prohibits the use of lead sinkers weighing 1 ounce or less and lead jigs less than 1 inch long along their longest axis.
The law also prohibits the sale in New Hampshire of lead sinkers weighing 1 ounce or less and lead jigs less than 1 inch long along their longest axis.
What you can do:
Use non-lead sinkers and jigs. It's the law.
Ask your local sporting goods store to stock non-lead fishing tackle. It's the law.
Spread the word. Tell other anglers about the problem with lead.
Dispose of old lead sinkers and jigs properly. Drop-off locationsinclude all N.H. Fish and Game offices and hatcheries (see list below).