At Holly Tree Terrace, East Down Park in 1891 & earlier; aka Holly Trees in 1882; listed at Dermondy Road in 1896, and Dermody Road in 1906; although the 1881 census also shows this address.
A listing of London historical public houses, Taverns, Inns, Beer Houses and Hotels in Lewisham, Kent . The Lewisham, Kent listing uses information from census, Trade Directories and History to add licensees, bar staff, Lodgers and Visitors.

Holly Tree, Dermody Road - in 2006
Kindly provided by Stuart Harris
The following entries are in this format:
Year/Publican or other Resident/Relationship to Head and or Occupation/Age/Where Born/Source.
Richard Harris was my GG Grandfather. The pub wasn't built until after 1862 as I have a local map
showing it as open land (I think the whole area was a nursery hence the
roads are all named after plants. The pub was built at the time of the
development. Before that I believe he was in Kennington (1853) (in a pub?)
***
1874/Benjamin Ingledew/../../../Post Office Directory ****
1881/Richard Harris/Licensed Victualler/60/Kent/Census ***
1881/Jane Harris/Wife/54/Kent/Census
1882/Richard Harriss/../../../Post Office Directory ****
1891/Daniel Botterill/Licensed Victualler/59/Pipwell, Northampton/Census
****
1891/Sarah E Botterill/Wife/57/Broughton, Northampton/Census
1891/Mary L Botterill/Daughter/20/Deptford, Kent/Census
1891/John Botterill/Grandson/11/Holborn, Middlesex/Census
1891/Alice Botterill/Grand Daughter/6/Deptford, Kent/Census
1891/Alice Pretty/Domestic Servant/28/Deptford, Kent/Census
1891/Catherine Soppet/Niece, Visitor/15/Deptford, Kent/Census
1891/Edmund Allen/Pot Boy/16/Ipswich, Suffolk/Census
1891/Catherine Hancock/Laundress/59/Deptford, Kent/Census
1891/Daniel Botterill/../../../Post Office Directory ****
1896/Fredk Wm Rose/../../../Post Office Directory ****
1905/Frederick William Rose/../../../Post Office Directory ****
1906/Frederick William Rose/../../../Post Office Directory ****
1911/Thomas Hester/../../../Post Office Directory ****
*** Provided By Stuart Harris
**** Provided By Kevan