would agree that these are both liquid condiment containers, my opinion is that the longish neck and slender body with large flared pouring lip are typical of these things, especially from the second half C19. Also agree they're most often seen in sets of three or four and usually contained within EPNS frames like those shown - don't know about these two, but it's often the case that the depression under the base is unusually wide for the size of the piece, but down market examples mostly have only a fire polished and slightly rough pontil scar still present - this can be seen on the right hand example - I think, although they're still level enough on the base to be remain upright.
C18 clear glass examples often have silver collars - the cutting lacks sophistication and often shows large relief diamonds and some mitres - occasionally curved.
Sowerby knocked out a lot of these, and probably so did just about every maker of utility table glass - I only mention Sowerby since you can see some of theirs in the Thistlewood CDs.
As for dating, I'd suggest middle to last quarter of the C19 for the right hand example - I think the left hand piece, although very attractive and desirable, is not as early as it's trying to make out, although I doubt very much it's as late as the 1960's - were such things still being knocked out in the middle of the C20? If really early it would be more likely that the neck rings would have been applied separately, and you can tell this by looking to see if they are moulded on or if added after the body has been made.
Utility cut glass pieces, assuming they have been used for some time, will show damage to high spots and internal staining - although it may have spent 100 years in Granny's cabinet and never touched, so that's not infallible. Is the glass very bright and white? Are there seeds or specks in the glass? What is the underside of the foot like?
Assuming almost zero wear, will put head on block and plump for somewhere in the first third of the C20, but it's really only a guess.