I wasn't suggesting that the mystery part is from THE C.W. Saunders but possibly from a similar engine. In any event, the best way I know to identify it, 1HH, is to take a picture of it over to Clark's in Lincoln. Ed is no longer there, of course, but his brother Murray and younger members of the Clark family are, and they are mechanical geniuses with a penchant for digging old steam locomotives and other steam machines out of the woods of Maine and elsewhere and restoring them. Someone there will be able to tell you. Just stop in the gift shop and inquire. They're used to such questions (some asked by me so I know) and gracious about helping out.
I took Waumbek's suggestion and contacted the good folks at Clark's Trading Post about the object I found in the woods in the general vicinity of Sawyer River Road and Route 302.
It has taken awhile to post this new information since I needed to find some time to go back into the woods and relocate the object and to take some measurements & additional photos. Then, there were several days of back & forth e-mail correspondence with Elise & David Clark. Plus, I've been away from NH for over a week visiting family.
Anyway, in terms of measurements, the diameter at the top of this funnel shaped object is 60 inches, and the diameter at the terminus of the object is 18 inches.
So, considering these measurements and the photos, David Clark hazarded a guess that the funnel shaped object might have been a smoke stack from the Doc Ordway steam engine which was built in 1844.
If (and it's truly an "if") this is the stack from that particular steam engine, then it's anyone's guess as to how it came to rest in its current location. It's also anyone's guess as to how it could have survived in such relatively good condition for over 150 years. But as David Clark pointed out, just because the original locomotive was built in 1844, does not mean that the stack necessarily has to be that old. The stack could have been replaced at a much later date.
Below is a photo of that locomotive accompanied by a brief write up. This photo appears on page 24 of the book entitled "J
.E. Henry's Logging Railroads" by Bill Gove.
Here is a photo of the funnel-shaped object found in the woods.
Here is a close-up of a portion of the widest part of the object (i.e. the top of the stack)
David Clark asked that I form my own conclusions, and so I suppose that would be my suggestion as well!