I gave birth to my son at Torrance Memorial and I LOVE that hospital! The staff were very friendly, courteous, professional and attentive. One big difference between Little Company of Mary and Torrance Memorial is that Torrance Memorial has a DEDICATED anesthesiologist 24/7 that ONLY works on Labor & Delivery floor. That was the BIG decider for me since at Little company, the anesthesiologist floats, so if you're in labor and you really need an epidural at Little Company but there's another emergency on a different floor...you have to wait for your epidural because they only have one anesthesiologist.
Now this information has not been verified but my OB/GYN told me and I figured he's a doctor at both hospitals so he should know... Anyways, you should probably check out both hospitals, they usually have free hospital tours so you can get a feel of the place and then make your decision after that. Oh, I almost forgot, the other big decider for me for choosing Torrance Memorial was that they only have Private rooms for Labor & Delivery, this was very important to me since I did not want to share a room with some other sceaming lady in labor! ;-)Good Luck to you!