An Oxford online dictionary has: "historical
A large glass bottle filled with coloured liquid and displayed in a pharmacist's window." Early 19th century
I have to think of it as a relative recent piece of glass given that it is very thinwalled...it feels somewhat more substantial than an egg, which isn't saying much. You could crush it with your bare hand...the thiness and that perfectly rolled external lip argue for early or mid 20th century...
Seems unlikely....the dump site looks like one of those personal, over the fence dump in a rural area maybe 10 miles north of the Kingston Rhiecliff bridge, thus 100 miles north of NYC