Thank you all for your replies.
This was large, but not beer-can large, dogu4! (Scream like a panther, no doubt!)
I only saw pictures, but it didn't appear to have tufts of hair or feathers. Nor did it appear to have fallen from a distance such as from a cougar up in the tree as you mentioned, Flashman. There was a game trail leading to the area, but I don't think it was at an intersection as in the way coyotes will do.
Moregon, unlike with the sow and her cubs you saw, the tree was a large pine tree in a wooded area, and the scat was located at the bottom of the tree within a radius of maybe three to four feet from the tree. (And definitely not the mini-keg-type-beer-can size!!!!)
So, Bitter Monk, you've said doubtfully a "bear tree" and possibly a cat. (But there was no tufts of hair or feathers.)
Accozzaglia, thank you for the link. When I read about the pile of scat in the abandoned mine that was large enough to fill a 35 gal fish tank, I recalled a tour through the beautiful and amazing Blanchard Springs Caverns in NW Arkansas. The tour guide pointed out a HUGE pile of bat guano that was probably 15 feet high! She said it was used in mascara.

(That was many years ago and I don't think they use it like that anymore.)
Poop: A Natural History of the Unmentionable looks quite useful and is both in my price range and my age range so thank you very much, Apeman.
QUOTE
Hippos navigate by it, sloths keep in touch through it, dung beetles eat it . . . and most grown-ups would rather not to mention it.
Again, you have big cats as being at the top of the list. A cat surely does look like the culprit. (Gotta double check for the hair tufts.)
Wardog, that's a really awesome avatar!
Again, I appreciate all of your replies! Thank you!