Here is the info on the NH from the Notre Dame site and I am copying and pasting a sentence below here which explains that status..
The pieces with the W.M. initials are now thought to be of doubtful origin and have been removed from the current edition (51st 199
of R.S. Yeoman, A Guide Book of United States Coins,p. 38."
New Hampshire
On March 13,1776 a joint committee of the New Hampshire legislature appointed to confer on the expediency of making copper coins entered their report. They stated William Moulton should be authorized to make copper coins at the current British standard weight, which was just over 153 grains. The report stated:
The Committee humbly report that they find it expedient to make Copper Coin, for the Benefit of small Change, and as the Continental and other Bills are so large that William Moulton be impowered to make so many as may amount to 100lb w.t subject when made to the Inspection and Direction of the General Assembly, before Circulation. Also we recommend that 108 of said coppers be equal to one Spanish milld [milled] Dollar: That the said Coin be of pure Copper and equal in Wt to English halfpence, and bear such Device thereon as the Genl Assembly may approve. (Crosby, p. 175)
On June 28 the New Hampshire legislature passed an act stating a copper coin would be made in the colony having a pine tree and the motto AMERICAN LIBERTY on one side and a harp design with the date 1776 on the other. The copper was to weigh five pennyweight and ten grains, that is 130 grains. It would be distributed by the Treasury in quantities not exceeding