Depends on who you'd ask, but no one is left to tell the tale, so this is my memory:

My father wanted a daughter called 'Dani'. I think there was a character in a book that he liked, but if I ever knew the name of it, I've forgotten.

My mother's father was the youngest surviving of 13 children of Daniel McCarry and Ellen Gallagher. Pop-Pop's name was Daniel Donald, but he always used Don/Donald. I've often wondered where the 'Donald' came from to a poor widowed Irishwoman early last (pre-Trump) century; though the McCarrys DID live in Atlantic City. Hmmmm.....

As first grandchild, I became Danielle, French version apparently offending no one. The first MALE grandchild became Daniel as well, and we are thus 'the other Dani/Danny'.

Dani