Robin Hood or Tom Jones’ Tankards?

These 3 drinking mugs have been in my family for generations and are downright funky. They have family initials on each of the tankards (GMH). Many of the men in my family, including me, have had the initials GH for generations, so I am curious when these might have been made so that I can possibly affix it to a specific generation on our family tree. Our family’s ancestors all came from England.    

My father always said that these heavy mugs are pewter (unpolished), and they are somewhat roughly made with imperfect roundness etc. The smallest one has some damage at the base. There are 3 sizes, each clearly imprinted with its size: ”1/2 PINT”, “PINT”, “QUART”.

As for size, the height range from smallest to largest is 3 ¾”, 4 ¾” and 5 ¼”.  The circumference of the top of each ranges from 2 ¾”, 3 1/4”, 4 ½”.

There are no markings on the bottoms, but each vessel has the same very small maker’s mark on the side of the tankard. See the photo which shows one of the marks. Many thanks for any input.