You can also get creative and come up with your own fun names! Here are a few ideas:
* Corgie: Combining "Corgi" and "Westie"
* Westigan: A combination of "Westie" and "Cardigan"
* White Corgi: Highlighting the Westie's white coat and the Corgi's body shape
Ultimately, the best name is one that you and your dog like!