Oh little Cody looks so cute in the pics!
Your descriptions of Cody and your late Matese remind me so much of the small terrier I had when I was a little girl. She was about 10 pounds of white fluff, just looked so adorable and cuddly but she was a feisty little thing and a great hunter!
She used to go into the field behind our house and spend the day digging and digging, trying to catch her prey. She would come home with a black, muddy face and muddy paws and chest. Sometimes she'd bring her prize home and horrify all of us because we'd find dead rabbits on the lawn!!

She never ate them, just killed them. I used to feel very sorry for those poor bunnies

, thankfully she didn't catch them too often.