hi - you don't provide any dimensions for these - but my opinion is that they don't look tall enough, at least in the stem, to be for cordial - although not to say they categorically aren't ............... they also perhaps lack the finesse of cordials, which averaged 5" - 5.5".
Cordial and ratafia were potent beverages, often with as much as 50% alcohol by volume, hence the small bowls.
my opinion is that possible these are either dram glasses or sham-drams - the latter used when the drinker wished not to consume a full bowl full, and this very thick bowl bottom might possible be that, but difficult to be sure. Dram glasses are associated with gin or whiskey, brandy etc., and are generally shorter than cordials and have a more robust and thick-set appearance - also probably soda glass and not lead - so these won't ring when flicked.
From the description the quality sounds more tavern-like than something from a Georgian drawing room. Can't see from your pix whether the foot has the remains of a scar or ground/polished depression, not that this will tell us a great deal, unfortunately, and 'some movement wear to base' doesn't suggest a great age, and taking a rather uneducated punt I'd suggest second half C19. Think I can see striations to the foot, but don't think this really helps to date.
As you've no doubt gathered, drinking glasses can often be a minefield when trying to id - serious collectors usually keep to the known shapes and designs, and mostly don't collect beyond c. 1830 .............. this makes for less mistakes and more attractive glasses - but comes with a bigger price tag.
It goes without saying you will never know the maker, or even possibly the country of origin. Sorry this isn't really what you wanted to hear - perhaps other people might offer better information.
