Willa nn Wills?

My top girls name is [name_f]Willa[/name_f], and while I love [name_f]Willa[/name_f] as a full name without nicknames, I think a lovely family/parental nickname is [name_m]Wills[/name_m]. I have various different nicknames from my parents e.g Ells, Ellsbells, Chucklebun(no idea why!) and so I love [name_m]Wills[/name_m] just as a parental nickname but everyone else would just call her [name_f]Willa[/name_f]. What do you think?
[name_f]Ellie[/name_f] xx