Found this along with some milk bottles from the mid 19 teens. I'm guessing it's old hot sauce bottle or similar. No marking other than the "0" on the bottom.
Darn if know..but would bet money has some age from looking at base. With a seam showing must of been molded glass just guess.Top made with a tool my guess.
I would say your pretty close with your guess, some sort of sauce bottle. My guess is, it was produced in the mid 20th century or so, like your other finds. Nice dig!