I have a pocket watch that has some hallmarks.

I know the meaning of 3 of the hallmarks.
The hallmarks tell me that the City is Chester (left hallmark), it is sterling silver (top hallmark), and the year is 1893 (right hallmark).
My problem is I am struggling to find out who the maker is (AW). At first I thought it was made by American Waltham, but the makers mark for them is AWCo, this doesn't match my AW mark, also the case is marked Chester, so this leads me to thing it is a British or European make.

Has anyone seen the AW makers mark before?
Do you know whose mark AW is thus telling me the maker of my watch?
I hope you can help.
I appreciate any help or information given.
Thanks!