Can't help with the name, but she is lovely (even down to her head and face sculpt - I don't seem to like most Barbie head sculpts, but I do find this girl cute), and I really like your choice of outfit for her, it suits her perfectly. It's good to see M2M Barbies in outfits like this one, I sometimes find the yoga-theme and outfit off-putting on them - it isn't just yoga where you need that articulation, even simple poses just like this one look unnatural without the right level of flexibility.
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"I wear my sunglasses at night
So I can, so I can
See the light that's right before my eyes"

"I wear my sunglasses at night
So I can, so I can
See the light that's right before my eyes"