David - firstly how lucky can a guy be............you get to swan around le Continent with an attractive woman collecting glass and eating in such romantic settings - how the other half live

Hadn't occured to me before, but the famous Wall's coloured ice cream 'Neopolitan' was obviously taken from the native icream sellers of that town.
Hope you won't object to a couple of pix of some 1d. and 2d. licks - I don't think any of these are bigger than that, although apparently it's claimed that there were sizes up to 6d. - although they were sold as halfpenny, penny and twopenny sizes, generally.
It's possible that the third one along in my second pic could be a deception glass rather than a lick, but I could be wrong - most licks have a flatish bottom (to the inside), but occasionally one is seen that dips almost in a deception fashion. Licks I've seen have all been very thick in the flesh - you could throw them downstairs all day long and they'd never break.
Although Patricia does comment about these things being illegal from about 1917 - I see that Charles Hajdamach comments that they were still going in the 1930's, in the U.K. at least - there are a few lines of interest in his '20th Century Glass'.
Can't really think what else this 'hello sailor' guy could be selling - some of these 'licks' do look very much like jellies although can't imagine he was selling jellies, so guess it has to be ice cream, the down side being that in Continental summer temperatures ice cream would convert to liquid quite quickly, I'd have thought.
Regret I can't comment on his attire - not my scene, but he does look Italianate.
Curiously, I notice that on your menu, the sellers glasses are upright but in the illustration in Hajdamach the glasses standing on the sellers barrow are inverted - presumably having just been rinsed. Maybe the Napolese skipped the rinse programme

My examples show a variety of ground/polished pontils, gadget marks and from the mould finishes, and on the tallest cone shaped one, which is similar in design to those on your menu, I see that I've written c.1870. My personal opinion is that mid C19 could be a tad early - but who knows? Of course, we can't see the bottom (interior) of yours, but they do look rather substantial, so could even be 2d. licks, and might be weighty things judging by their apparent size - it seems that very little of the overall shape/size is given up to the ice cream capacity, and bearing in mind their thickness they are heavy pieces.
I haven't looked at wiki - but dare say there is a lot of info on the net somewhere for these licks - but have google the wording without success .