[...] did 19th century chemists also have such [accurate] equipment? [...]
My bet is "yes". People already manufactured telescopes, music instruments, clocks for maritime navigation in the 19th century. Even if we don't guess now how they did then, Sapiens weren't stupid and found processes within the available technology. Just like the pyramids were built despite we don't figure out how. Or the Michelson-Morley experiment. And they measured in the mid-19th the precession of Mercury's perihelion despite in 2017 I wouldn't be able to do that.
More generally, hundreds of geniuses accumulated knowledge over generations then like now, and learning a manual manufacture profession takes over a decade. So if presently one singe person, with limited indications about what technology existed then but was lost, thinks for an hour or a decade at an endeavour of the past and doesn't find a method, that's perfectly normal, and brings no indication about the feasibility in the past.
Volume and glassware: even if a diameter wasn't accurate enough, the graduations could be brought afterwards, for instance by filling with water and using scales.