Welcome to the Forum. Your dog's character description certainly sounds Basenji-like, and her pictures indicate she could have Basenji in her make up, although I'm not sure I would say that she was half Basenji; but you never know. And I can tell you that unless you know for sure what breeds are in a dog, guessing is not foolproof. If you really, really want to know what breeds are in a dog, you have to have their DNA analyzed.
I've had a few dogs DNAed….. with surprising results! One was a little dog I had pulled out of a California shelter under the assumption he was a Basenji mix..... he had Basenji ears, a curled tail, he didn't bark (then!). He did look Basenji, except he was white (I shoulda known!) DNA analysis revealed that he had not one iota of Basenji DNA!
-Joanne