She looks like a Dolly to me. Good luck with the house training of such a tiny one - best if you sleep by the back door, wearing a tracksuit. I resorted to puppy pads, eventually moving one outside.
My new dachshund puppy is going to be called Dotty. She is black and tan and has two tan dots over her eyes. I also like names ending in ee sound as it is soft and friendly when recalling.
I would call her Bella /Belle. In so many languages it means beautiful. She really is a beautiful little puppy. Hope you enjoy many happy years together.