We had a mouse saga in the house. There was a mouse in M's mom's bedroom. Scrappy and duchess didn't do anything to the mouse except stare at it.
So we've been periodically putting Penny in there until the mouse ventured out.. and it finally did. His mom came out saying "she caught the mouse!" and Penny ran into the kitchen to her food bowl and after some back and forth of "don't touch the mouse" I explained I was going to pick up Penny while she had the mouse in her mouth , take her outside, and shake her gently until she let loose of the mouse. (I did this with another cat when she caught lizards all the time). And the tactic worked . There is no mouse in the house.
That we are aware of.
Penny got lots of treats and pettings for victory and to make up for the loss of her prize