Green’s Dictionary of Slang

jenny wine adj.

[? jenny-ass n./SE genuine]

(Irish) non-drinking, teetotal.

[Ire]S. MacManus Rocky Road to Dublin 12: Wullie John hadn’t a pair of trousers fit to be seen in the fair, so borrowed yours to stand in. He’ll have them home in good time, for my man’s a jenny-wine Methodist who never lets night find him in a fair.