Question: What do people in the United Kingdom commonly call the location of the room where the entire play "On the Rocks" is set?

Context paragraphs:
Pippa Passes, Kentucky: Pippa Passes is a home rule-class city located along Caney Creek in Knott County, eastern Kentucky, United States.  Its formal name was chosen to honor benefactors of Alice Lloyd College.  After more than a century, its residents commonly call the community as Caney or Caney Creek.  The population was 533 at the time of the year 2010 U.S. Census.  The small city is located in the mountainous Appalachia region, an area of coal mining.

Saluta Rocks: Saluta Rocks ( ) is a group of rocks 1 nautical mile (1.9 km) east of Laurie Point, lying off the south coast and near the west end of South Georgia.  The name Mutt and Jeff was probably given by Lieutenant Commander J.M. Chaplin of the 1926.  The SGS, 1955–56, reported that the name is misleading; there are not two rocks as implied, but a group.  The rocks were renamed by the United Kingdom Antarctic Place-Names Committee (UK-APC) for the Saluta, a transport of the South Georgia Whaling Co.  for many years.

10 Downing Street: 10 Downing Street, colloquially known in the United Kingdom as Number 10, is the headquarters of the Government of the United Kingdom and the official residence and office of the First Lord of the Treasury, a post which, for much of the 18th and 19th centuries and invariably since 1905, has been held by the Prime Minister.

Uriconian: The Uriconian rocks of Shropshire (Wrekin Terrane) are thought to be potentially related to the Longmyndian Supergroup of the Stretton Hills, Shropshire, United Kingdom.  Current geological profiling of the terranes suggests that the Uriconian rocks are of Precambrian age (Neoproterozoic Phases 2 and 3).  The Uriconian Rocks outcrop to the southeast of the Long Mynd area of the Welsh Borderland Fault System and beyond the Church Stretton Fault which trends northeast-southwest across the area.  The Stretton Hills are composed primarily of arenaceous (quartz rich sand) beds assigned to the Longmyndian Supergroup.  The Longmyndian rocks are a c.6 km thick group of volcaniclastic and bentonitic sediment horizons.  The Uriconian have long thought to be older than the Longmyndian and generally outcrop to the southeast of the latter within northeast-southwest trending lineaments suggesting basement influence for the regional structure.

On the Rocks (play): On the Rocks: A political Comedy (1932) is a play by George Bernard Shaw which deals with the social crisis of the Great Depression.  The entire play is set in the Cabinet Room of 10 Downing Street.  It is noted for its evidence of Shaw's political evolution towards apparent support for dictatorship.

Snag Rocks: Snag Rocks, ( ) also known as Rocas Bravo, is a cluster of rocks off the west coast of the Antarctic Peninsula.  This cluster of rocks lies mid-channel in the French Passage between the Roca Islands and the Myriad Islands, in the Wilhelm Archipelago.  Photographed from the helicopter of HMS Protector in March 1958, Snag Rocks was so named by United Kingdom Antarctic Place-Names Committee (UK-APC) because the feature presents a hazard or obstacle to navigation.

Ramp Rocks: Ramp Rocks ( ) are three barren rocks, the largest being 23 m high, lying 2.5 nautical miles (4.6 km) northwest of Johannesen Point, Main Island, at the west extremity of South Georgia.  The name "Laavebrua," a descriptive Norwegian term meaning literally "threshing floor bridge" or "barn bridge," was used for the largest rock by whalers and sealers at South Georgia.  In Norwegian barns used for storing hay, there is a ramp up which the wagons are driven before tipping.  "Laavebrua," which is not strictly translatable, is this ramp.  The United Kingdom Antarctic Place-Names Committee (UK-APC) recommended in 1954 that "Ramp Rock" be approved for the large rock, but in 1976 altered the name to Ramp Rocks to include the three rocks.  The name Låvebrua Island is already approved for an island off Deception Island.

Recreation room: A recreation room (also known as a rec room, rumpus room, or ruckus room) is a room used for a variety of purposes, such as parties, games and other everyday or casual use.  The term is common in the United States, Australia, New Zealand and Canada, but is less common in the United Kingdom where the preferred term is games room.  Often children and teenagers entertain their friends in the rec room, which is often located in the basement, away from the main living areas of the house.  Usually it is a larger space than a living room to have the ability to serve multiple purposes and entertain moderately large groups.

Battle of Muhu: In January 1227, when the sea had frozen hard, a large Crusader army after the call of the Papal legate William of Modena was gathered.  According to the Chronicle of Livonia, 20 000 troops had set out to Muhu from the estuary of Pärnu River and moved along the ice.  Since the ice was said to have been very slippery, they reached the stronghold of Muhu on the ninth day.  After seeing such a large force, the people of Muhu offered truce and allowed themselves to be baptised.  Most of the Germans didn't accept it and so they started besieging the stronghold.  The first rush was fend off with rocks and spears.  The besiegers threw rocks into the stronghold with bricoles, built a turret and undermined the wall.

Drawing room play: A drawing room play is a type of play, developed during the Victorian period in the United Kingdom, in which the actions take place in a drawing room or which is designed to be reenacted in the drawing room of a home.  The common practice of entertaining a guest in the home led to the creation of this category of plays and while the drawing room itself has fallen out of favour, the play format has continued to provide a source of entertainment.

Supporting paragraphs: On the Rocks (play) 10 Downing Street
Answer: Number 10