The "playground consensus" is that moms are either all for frilly, girly princess daughters and have no concerns OR they are "abolutely not" and are happy if their daughter never plays with a Barbie doll or see a Disney movie. Would you name your daughter after a Disney Princess or after a Barbie character?
Disney Princesses
Snow White - Snow White
Cinderella/Ella - Cinderella
Aurora/Briar Rose - Sleeping Beauty
Belle - Beauty and the Beast
Jasmine - Aladdin
Pocahontas - Pocahontas
Ariel - The Little Mermaid
Melody - The Little Mermaid 2
Recent Barbie Movie Character Names
Rosella - Barbie as The Island Princess
Elina, Mariposa, Rayna and Rayla - Barbie Mariposa
Alexa, Liana, Melody - Barbie and The Diamond Castle
Eden - Barbie in A Christmas Carol
Barbie (main character), Thumbelina, Janessa, and Chrysella are the Twillerbies -- Barbie: Thumbelina