So in that case you would have
either an over girth
or wrap strap, as you said, but it is the girth part and not the dangling strap that is the "overgirth" if I'm understanding correctly.
Agreed. The Smucker's catalog points to the overgirth as being the piece of leather that has a buckle at each end and is "over" the reg. girth and attached to it "loosely" with a tab of leather and the absolute bottom. I didn't "part out" the rest of the parts of the overgirth system, I suppose because the "tug billet" is sewn on to the tug via the hardware.
What is a Tilbury tug if that's the true French tug?
Tilbury's are designed the same way as French, but don't have a metal cradle.
I would say the Ozark one is nothing like a marathon tug though as marathon tugs do not constrict around the shaft and must by definition open to receive a closed loop marathon shaft, which this one does even less easily than a regular open tug.
I think you are describing a Quick Release tug. We have this kind for one of our harnesses. (It won't let me copy the photo.) http://www.drivingessentials.com/pop%20up%20pages/Harness_Section/ess_marathon_saddle.htm The difference between that and the Tilbury is that the bight of the tug bearing strap goes back into the buckle on the Tilbury. Ironically, we don't like them. With our well-sprung horses that we don't tighten the girth on a lot so that we don't gall them, these tugs don't work very well. The overgirth needs to be tighter for these tugs to hold up the shafts. We like the Quick Release tugs better for the marathon vehicle. Ozark definitely has their own design. It's almost like a reverse Marathon. The bight is outside the tug.
Out of curiousity, what is the correct name for a non-French Link jointed mouthpiece if not "snaffle"? I understand "snaffle" refers to the sort of connection the bit has with the reins, i.e. a direct connection without leverage, but is there another name to correctly describe the basic jointed mouthpiece that usually constitutes a snaffle bit? Is it just "jointed," as in a jointed snaffle versus a mullen mouth snaffle?
I would call that jointed or broken. What I was referring to more was how especially WP people use "snaffle" to describe a Tom Thumb curb, or any other curb with a jointed mouthpiece.
(How do you do the double quote so I don't have to type in the quote box?
)
Myrna