Green’s Dictionary of Slang

doner n.1

[done adj. + ? pun on goner n.1 ]

one who is ruined, on the verge of death or collapse.

[UK]Session Papers of the Central Criminal Court in DSUE (1984).
[UK]Leeds Times 23 Feb. 6/3: A man to be a ’bus driver must ave hiron narves [...] and his knowledge-box must be screwed right atween his shoulders, or he’s a dunner.
[UK]E. Raymond Jesting Army in DSUE (1984).