The fairly modern type of pipe wrench made by Ridgid and a number of other manufacturers nowadays should probably just be called the “Ridgid Type”, although “Thewes Type” would probably also be appropriate since W.O. Thewes has his name on the Patents.
US patent 1,552,091 Pipe Wrench was issued to William O. Thewes of North Ridgeville, OH. It was granted on 09/01/1925. The features noted in the patent include the size scale on the shank of the movable jaw, friction springs in the casing to hold the jaw in the adjuste
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I suspect a bench of the parts for the Thewes type Pipe Wrench were just taken from the then standard but out of patent Stillson/Walworth wrench design, which had been the previous “standard” as as far pipe wrenches went, with Thewes modifying the Stillson design to make the design potentially stronger and maybe cheaper to manufacture.
The Thewes style wrench basically became enough of a standard that Walworth started manufacturing a similar wrench that “looked the same” but which varied enough in internals, that there were different patents, and the Patents didn’t seem to conflict.
The Ridgid/Thewes wrench basically became the new standard, enough that many major manufacturers of plumbing tools now make pipe wrenches with parts that are basically interchangeable with the Ridgid wrenches.
Stillson wrenches, or wrenches based on the Stillson design are still made and available from some of the companies making the Thewes design wrenches, so the style never completely dropped from favor, and one or more Japanese tool makers use a modified Stillson design for specialty wrenches.
Swinging around cast iron pipe wrenches on ladders at arms length and overhead is miserable.