Hamlet has really entwined roots. I've copy pasted below because I'll explain it poorly if I do it myself. It's also interesting that while hamlet has partly French routes, town is obviously old English (tun) and city comes from the Latin word civitas.

From Middle English hamlet, hamelet, a borrowing from Old French hamelet, diminutive of Old French hamel, in turn diminutive of Old French ham, of Germanic origin, from Frankish *haim, ultimately from Proto-Germanic *haimaz (whence English home). Equivalent to Middle English ham (“home, village”) +‎ -let (“small”).