Company Names, addresses, dates¹:
  Bergner & Engel Brewing Co, Md ave c 9th NW (1881-1887)
  Bergner & Engel Brewing Co, Va av c 6th SW (1888-1900)

Notes:
Brewery was based in Philadelphia. They apparently had a Washington DC branch.
An ad in the February 2 1881 Washington Post listed H.L. Dauterich as their agent. It also listed 3 other DC bottlers who bottled Bergner and Engel's beer: Chr. Dickson, John Nass and William Zanner.
There is another newspaper ad shown below that lists a different set of bottlers, but I don't know if that ad is before or after 1881. It lists the beers as "Lager", "Tannhauser", and "Culmbacher".

Bottles:

(enlarge)	This is a clear 9.2" Baltimore-loop top bottle marked: front: THE BERGNER & ENGEL BREWING CO / TRADE / MARK / (logo w/ bird) THE B&E B Co / 1895 / H.L.DAUTERICH MANAGER / WASHINGTON, D.C. / REGISTERED back: THIS BOTTLE / NOT TO BE SOLD bottom: M
(enlarge)	This is very similar to the bottle above. It's an aqua 9.2" Baltimore-loop top bottle marked: front: THE BERGNER & ENGEL BREWING CO / TRADE / MARK / (logo w/ bird) THE B&E B Co / H.L.DAUTERICH MANAGER / WASHINGTON, D.C. / REGISTERED
(enlarge)	This is an aqua 9" baltimore-loop top bottle marked: oval slug plate: THE BERGNER & ENGEL / BREWING CO / H.L.DAUTERICH MANAGER / WASHINGTON, D.C. below slug plate: THIS BOTTLE / NOT TO BE SOLD bottom: 7
(enlarge)	This bottle is actually embossed with Anheuser-Busch, but has a partial label from Bergner & Engle. I don't know if the 2 companies had an agreement, or if Bergner & Engle simply reused an A-B bottle. It's a 9" clear BIM crown top marked: front: TRADE MARK / (eagle inside letter A) / ANHEUSER-BUSCH BREW ASN / WASHINGTON, D.C. back: REGISTERED bottom: J. BROS. label: TANNHAEUSER / NONE WITHOUT THIS GENUINE SIGNITURE / PHILADELPHIA 1876 / BRUSSELS 1888 / PARIS GRAND PRIZE 1878 and 1889 FOUR MEDALS CHICAGO / THE BERGNER & ENGLE BREWING CO
(enlarge)	This is an amber 9.5" BIM crown top bottle embossed: front shoulder: TRADE MARK / (picture of an eagle with "THE B&E CO") / THE BERGNER & ENGEL BREWING CO front bottom edge: WASHINGTON, D.C. back bottom edge: REGISTERED bottom: 1899
(enlarge)	This is an aqua 9.2" BIM crown top bottle embossed: front: THE BERGNER & ENGEL BREWING CO / TRADE MARK / (picture of an eagle with "THE B&E CO") / 1895 / H. L. DAUTERICH / MANAGER / WASHINGTON, D.C. / REGISTERED back: THIS BOTTLE / NOT TO BE SOLD

This is an advertisement from a newspaper. The ebay seller said it was 1880-1882, although there's no date on it since it was cut out so I can't verify that. It says: THE / BERGNER & ENGEL / BREWING COMPANY. / ... / WASHINGTON, D.C. / Depot and Office: / 9th Street and Maryland Avenue S.W. / H.L. DAUTERICH, Manager. / ... / BOTTLERS: / JOHN NASH, 821 4 1/2 St. S.W. / H. BENZLER & CO., 933 D. St. N.W. / F.H. FINLEY, 1206 D St. N.W. / BILD BROS., 640 B. St. S.W.

(enlarge)