Sylvia & baby mice

I've had a 'harrowing' evening! My cat, Sylvia, she belonged to Jill, but that was my fault, so now she belongs to me, has been bringing baby mice into the house!! I only saw one--AT FIRST! She played around the kitchen table with the poor little baby as I was checking my e-mail on my laptop that was sitting on the same table that Sylvia was chasing the baby mouse around (my feet have been permanently planted on a stool at the breakfast bar). I decided that was enough & that I had to save the poor baby! Scared baby mice are extremely hard to catch! As I lifted up the dog beds to find the poor little baby, I found that there was not 1 but 2 baby mice clinging to the dog bed! Baby mice are especially hard to catch when there are several dogs that are trying to get involved in the chase. I finally caught one with my "suede-gloved" hand (I don't like to be bitten by rodents!). I threw it out on the front lawn--it pretended to be dead--but was not there when I checked a minute later. Sylvia brought another baby in--it appeared to be dead--I threw it out on the front lawn. She's still out hunting. There is one baby mouse at large in my house! I rue the day I met Mouse!