Many thanks for your enquiry, I'm sorry for the delay in contacting you but I was away last week. It seems most likely that the Dudley water bottle got its name because the company which made them, called Acme, was based in Dudley. The company also made the metal lunch tins, known in Yorkshire as snap tins.
I've included an image of one of the bottles in our collection showing the makers name

I'm sorry that I can't give you a definitive answer but I hope this helps.

With best wishes
Anne Bradley
Curator (Social & Oral History)
National Coal Mining Museum for England
Caphouse Colliery
Overton
Wakefield
West Yorkshire WF4 4RH
Tel : 01924 848806
Fax 01924 840694

Ray