Just a collection of pics, if I can figure out how to load them all. The kissing photo includes her bff, Darwin, a lab-springer spaniel who is 6 mos. older than her. Actually, she's his puppy.
I can see why someone would think there was Terrier, but I'm not so sure about Basenji. (The only way to know for sure is to do a DNA test.) Both of your dogs look very similar. What breed, or mix, is the older one?
OMG soooo cute. Her colouring and face don't look like a basenji, but maybe she's mixed with something with stronger genes. Do a DNA test. That would be fun!
The traits you described are also found in most of the Nordic/spitz type dogs. I don't see anything overly basenji-ish about him in the pics. What ever he is, he's very hansome.