Hi Penny - sorry, not quite sure why I'd run away with the idea that both of yours were tumblers - just goes to show the usefulness of providing sizes, and me reading more carefully

I'm with you for any new suggestion you might care to make regarding our knowledge of glass types from any period in history - however, your suggestion in this instance re the sailing ship on the larger vase piece, whilst not impossible, lacks any known provenance/attribution which might provide credibility.
As a purely personal opinion, to my eyes the bubbles on that piece are so prolific that they cancel out the attractiveness - or otherwise - of the wheel engraving.
In order for you to set up a new classification and give credibility to the vase/sailing ship, you will need to justify your claim with some genuine known late C19 example on which to base your assertion - otherwise you will fail - would love you to be correct, but I think the weight of opinion here and the lack of historic comparison, means you have fallen at the first hurdle.
This is one of those instances where there is so much against this being 'right', that it's very wrong.

As to why workers at bottle factories appear to have been limited to paperweights and doorstops (you will know better than me I expect, but were the dumps made as p/weights? - I'm really not sure).
But, the answer to this question may well be that the skills and knowledge for bottle making fall short of the knowledge and equipment necessary to make a vase or tumbler - both of which, if we look at your examples, appear not to be mould made which might have been the result in the bottle factory - but appear to be the shape and looks of free blown i.e. pontil scars etc. etc., and this would not have been a practical proposition in a factory using moulds for bottles - IMHO. See also comments just posted by Anne (Mod.)
As for the smaller piece, you probably know more than me about such things, and your suggestion of Portugal may well be better informed than my far east or Turkey/Egypt …………. as for the date, I'd be inclined to suggest more recent even than you suggest.
P.S. Looking at the books it seems that all those classed as 'dumps' were in fact intended to be used as doorstops.