Your picture looks close but the letters on my bottle are black and raised as is the picture of the horse. That also goes for the Edison Battery oil bottle. Neither of my bottles have a screw on top as shown in your picture. I guess they were seald with cork stoppers. Also I passed on a milk...
I was at the coin dealer today and saw several bottles that interested me. One said:
Humphreys
Homopathic
then
A circle with a horse head in it
trade mark
Veterinary
specifics
The bottle is as tall as a business card on end and the ink of the letters is black.
Btw I bought both...