Hello Paa Paw, found the following on the net. A. & D. H. C. was the abbreviation for the name of the glass company that made your bottle, you will find more info pertaining to your question below.
A. & D. H. C. .........Alexander & David H. Chambers, Pittsburgh, PA (1843-c.1889). This was one of the most prolific glass companies in Pittsburgh during the mid-to-late 1800s. Huge quantities of bottles, flasks, and fruit jars were made, as well as window glass. Many local, regional, and nationally distributed sodas, mineral waters, beers, bitters, tonics, and other types of products were packaged in bottles made by A&DHC. Most commonly, bottles with this mark usually seem to date from the 1870s and 1880s, but the mark was probably in use at least from around the start of the Civil War, perhaps a bit earlier.