Green’s Dictionary of Slang

methylated spirits; thus feke-drinker, a drinker of ‘meths’.

1932		T.B. Gibson Mackenzie ‘The British Prison’ in Fortnightly Rev. Mar. n.p.: This class represents the real human wreckage [...] Over twenty-five per cent. are ‘jake’ or ‘feke’ drinkers. They drink methylated spirits either in water or beer [...] The jake drinker’s life is a short one and most of it he passes in prison suffering the agonies of a terrible reaction.
1937–84		Partridge DSUE (1984) 385/1: from ca. 1920.