Is it wrong to use a name already in family?

Ra

From being a child I have always loved the girls name Ellie. I don't now what I am having but I'm struggling to find a girls name. I quite like Millie but not as much as Ellie.

I have a second cousin called Ellie who is 11. She is my cousins daughter. I don't see her very often and we are not close. I don't think I've seen her in 3-4 years. Would it be wrong to use the name. I don't know if it would offend my cousin and his wife.