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!
Do you have more pics of her? Her tail looks like it curls upward but I can't tell exactly what her ears are doing. She is way too small to be a Vizsla but I can see why some see the breed in her. The coloring is similar to a Vizsla.
Oh yeah, he looks way more like a b-mix to me than a lot of the pups listed as basenjis on Petfinder. And they mention he's not a barker. What a cutie! Someone go get this guy! :D