Hinny is the name given to the fictional pairing of the characters Harry Potter and Ginerva 'Ginny' Weasley.
The romance happens in the 6th book in which Ginny Weasley is turned into a BAMF (as oppposed to minor character and plot device) and the romance last a month before they break up again. And then they get married and have babies with, lets face it, weird names.
Fan art of the pairing leads to confusion over whether it is James and Lily Potter or Harry Potter and Ginerva 'Ginny' Weasley.