@JackieD:
I have taken this dog on 3 mile walks, jogging for parts of it, and when we get home the dog can still play for hours! I get the feeling she wants to run, but I have read that they tend to take off and risk getting hit by cars, harassing strangers, etc. What else can I do to excercize her?
Basenji's are SMART dogs, so put that brain to good use… train! Training often tires a dog out more than jogging, walking, hiking, playing, etc... training requires the dog to THINK, to make connections, to learn new voice commands, hand signals, and read body language. incorporate some short training sessions into your daily physical activity - i.e. before heading out for that 3 mile walk, take 10 min to learn and run through some drills - sit, down, touch, wait, left, right, etc... then go on the walk (which serves as a positive reward for the training). I incorporate training drills whenever I can - before a walk, during a walk, before play, during play, before meals, etc... my dog must think and work for things. I always keep the sessions short though - multiple short sessions is better than one long one.
@JackieD:
When we got her from the shelter they said we were her forth owners, and she's only a year and half old! I suppose anything could have happened to her in these other homes, but do you think these are signs of mistreatment? Could she just be a shy dog?
I think 4 homes in such a sort time probably has much to do it. be sure to be her confident leader and interact in a positive manner. over time you'll build a stronger relationship, but she'll need to learn to trust you. Training can help here too - regular training helps create a special bond w/ your dog - one of trust and respect - equally.