Plymouth locomotives are about as diverse as they come when it comes to the prototype. This is especially interesting to me considering how relatively few were built, approximately 7,500 total units from 1912 through the mid 1990's. The plant closed in 1999, but still exists in Plymouth, Ohio.
This link to an advertisement on Wikipedia shows a variation that is close to the K-Line model. The article has a pretty good overview of the company, but not a lot of prototype photos. The RR Pictures Archive site is down again today which happens at least once a week, but there are some photos of the various Plymouth offerings there as well. They started offering these with diesel power in 1927, but I can't say when they stopped offering a gasoline powered version.
The nomenclature on these is equally confusing. Most are just referred to by their tonnage rating. The K-Line one represents a 25-ton locomotive, but Plymouth offered up to 120 ton options. Many were under 25 ton and were offered in smaller gauges.
Similar locomotives include Strasburg #1 and East Broad Top M-4. Finally, this Flickr site has a nice collection of Plymouth locomotive images.
Finally, if you can decipher it, the American Rails website has the various designations these locomotives received. It is a fascinating history and one that deserves more research. Anecdotal at best, but it appears there are some operating that use gasoline. I was surprised to learn that some utilized propane as far back as 1937.
I'd love to hear more from people who have better access to research than my simple internet research.