In the early days of Hamilton wrist watches the first models were named after their shapes. For example you had the Cushion, Oval or the Rectangular. Sometimes they got creative and added other features like if it was engraved or if the bezel opening was a different shape - like a Cushion Round.
Fairly quickly they ran out of shapes so other themes emerged like famous resorts of the time... Piping Rock, Coronado, etc. and there was also a unique line dedicated to noteworthy explorers (Bird, et al).
By the early 1930s most mens' models received mens' names - often more unique names versus common names. For example there's a Webster but no Peter. I suspect models were named after people important to the Hamilton factory or Lancaster area but I've never seen a specific list of who inspired which model.
In the 1950's there were lots of new models introduced, perhaps too many for marketeers to come up with names so they adopted numbers for certain lines. The first automatics were called Automatics and the series was K-something. What was the K for? I'll tell you... I don't know. If I had to make a guess I would say it stood for Kurth, as Kurth Freres was the Swiss-maker of the initial K-series of automatic movements for Hamilton. However Eterna made some early models too so that theory may have some flaws.
Anyway, sometimes the model name makes you wonder what the genesis was. An example is the 1958 Lansing. Was it named after the city in Illinois or was there an employee at the factory named Lansing? Was it the twin brother of who ever inspired the Courtney - as the two models are very similar.
Regardless, the Lansing was produced for only two years and you don't tend to see them very often. If you do see one, it may actually be something else, as there are other very similar looking models like the 1958 Courtney.