https://osm.wikidata.link/no_match/relation/51848 https://www.wikidata.org/wiki/Q26483844 also shows Fawns Manor as the only likely match.

However the grounds of the house (curtilage) on satellite differ slightly from the images used on these sources, suggesting a change in use either to apartments or as hotel accommodation for Heathrow airport (other sources vary and aren't clear if they're elsewhere in this area and share the name of Fawns Manor) 

1914 OS Map names it as just "Fawns".
https://maps.nls.uk/geo/explore/side-by-side/#zoom=17.5&lat=51.44927&lon=-0.44032&layers=168&right=osm