Green’s Dictionary of Slang

(orig. US) unwell, sickly-looking.

1880		Bailey Danbury Boom 49: She was coming out of the door with a pail, and was looking very much heated and upset – ‘draggy,’ she would call it .
1936		Hull Dly Mail 2 Sept. 8/1: She felt miserable — dragggy — low in vitality.
1991		W.T. Vollmann Whores for Gloria 17: James he said to himself it’s time to turn over a new leaf [...] and never again go for diseased imitations like that draggly old Nicole bitch.