It could be a beer, there is no way to know without doing research into the company. Is that a hinged mold base, though? I've seen that on a lot of bottles, I thought THIS was a hinged mold.
I think what you have is a post bottom mold, which was mostly phased by the 1880's, of course there are exceptions.
I think this company is the predecessor to Hund & Eger, which is a relatively common soda bottle around the area of St Joe. I'm not very familiar with Dumke & Hund.
I have a friend who specializes in St Joseph bottles. I'll try emailing him and see what he says.
I found the Frederick W. Dumke & William Hund were in business from at least 1882 to 1888. In 1889, the firm became Hund & Eger. The earlier firm was Dumke & Gleitz, Gleitz was listed as a soda water manufacturer in the 1880 Census.
Thier 1882 directory ad is below:
1882 Hoye's St Josephs Directory DUNKE & HUND, (F. W. Dumke & W. Hund) soda water mfrs, beer bottlers, etc., 402 and 404 Main
Is this a pint or quart sized bottle? Is there any embossing on the reverse.
As luck would have it... It is part of a 200 bottle lot i bought yesterday. I am selling off many... Am buying another collection tomorrow. I don't have room and i only collect Wisconsin. Never intended to keep it.
Make a GREAT offer and it is yours. I have a lot of money into the buy.