Can an Ariel have an Uriel?
Why on earth not?
If a person can be called Tzvi Hirsch (even though they are the translation of each other), then an Elisheva can have a Batsheva and vice versa – they are totally different names.
R’ Moshe ZT@”l has a teshuva about Tsipora and Faige that they have separate meanings (one is a generic term for birds whilst the other is a specific type of bird) and are ok together!