Company Names, addresses, dates:
  J. B. Gorrell, Culpeper VA

Notes:
The 1880 US Census lists Joseph B. Gorrell was a pharmacist residing in Culpeper VA. The book "In & Around Culpeper - Walking & Driving Tours of a Virginia Piedmont Town" on page 14 identifies a building on 102 N. Main Street as Gorrell's pharmacy, where U.S. Grant used to visit in 1864¹.
There are some displays with information about J.B. Gorrell on the 2nd floor of the building at 102 N. Main street, which says that Gorrell's drug store was there during the civil war. It also says Gorrell lived in the upper 2 floors, that he renovated the building in 1889, and that Gorrell's shut down in the 1930s.
B.H. Gorrell was the president of the Virginia Pharmacists Association in 1895 - although I'm not sure if "B.H. Gorrell" is related to "J.B. Gorrell"².

Bottles:

(enlarge)	Clear 6.3" bottle embossed: vertical: JOS. B. GORRELL / PRESCRIPTION DRUGGIST / CULPEPER, VA. bottom: 2 / PAT DEC 13 / 87 / CLG CO
(enlarge)	Clear 4.0" bottle embossed: vertical: JOSEPH B. GORRELL / DRUGGIST / CULPEPER, VA. bottom: W T & CO / F
(enlarge)	Clear 2.8" bottle embossed: vertical: J.B. GORRELL / CULPEPPER, VA. Note that Culpeper is mispelled with two p's.
(enlarge)	Clear 4.7" and 4.3" bottles embossed: vertical: J.B. GORRELL / CULPEPPER, VA. Note that Culpeper is mispelled with two p's.
(enlarge)	Clear 2.8" bottle embossed: vertical: GORRELL / CULPEPER, VA.

This is a modern photo of the building at 102 N. Main Street in downtown Culpeper. It is presumably the same building that housed Gorrell's pharmacy.

(enlarge)