Betty Zumwalt's excellent book, Ketchup Pickles Sauces, covers this bottle on page 165. She lists it as rare; its contents peppersauce.
Your bottle was originally fitted with a metal closure which I believe had something of a drip top.
The glass contains manganese, the presence of which will result in the purple coloration. Likely your bottle has been exposed to some sort of UV light to bring out that color.
I have honestly no idea about the value - if I were to shoot from the hip, I would probably say in the range of $20 but that is entirely a guesstimate.
I believe use of manganese ended around the time of WW1 so your bottle dates just prior..