Green’s Dictionary of Slang

underdoner n.

one who frequents a stage door in the hope of seeing a favoured artiste.

[UK]Music Hall & Theatre Rev. 16 Mar. 74/2: ‘Underdoners’ [...] those poor half-witted creatures who, in tall hats and high collars, hang about the stage entrances of music halls, wating for their favourite beauties to come forth .