Woodstock Road is named after Woodstock House which used to be a large house in Golders Green.
Since there was already this road with a name of ’Woodstock’, the designers of the 1924 Northern Line extension north of Golders Green being stumped for a name for the first station north on the new line, considered ’Woodstock’ rather than ’Brent’ (later Brent Cross’) for it.