There are several Arthur Duguays in Merrimack county in NH.

It would help others if you have a rough idea of his birth year,when or where he died, a wife's name or where he lived to give you a better response. Did he serve in the military?
Did he have children?

The range of years I found are from 1887 to 1934.
Towns in Merrimack county I found are Suncook, Allenstown, Pembroke, and in Coos County there are two in Berlin, in Hillsborough county there is one.

If you can, find some more clues to get a better reponse.