After Izuku kicked him out due to Hisashi going over seas little Izuku at the age of 16 he was alone and hungry until a certain creati saw him and asked why he was out and he told her the reason and she took him in and started to know him more as friend and it comes to find out that Inko only kicked him out due to his father and that she doesn't want him to have a quirk and they went to see that he has one and it fits perfectly that him and Momo had the same quirk which made for them. Soon enough before Ua Izuku got recommended along with his fiancé.
Ship
Izuku x Momo