Well, I drugged my sweet Siva Saturday and although it took me most of the day, I managed to remove the mats on her hind legs and her chest using the clippers. She would let me remove one mat and then she would get up and leave. I felt so bad that I had to drug her but in the end I think it made it easier on her. I still need to remove the mats on the inside of her hind legs and my best friend has volunteered to help me so I don't have to drug Siva. Siva loves my best friend so it may just work out. Will keep you all posted.

I learned a few things from all your help and suggestions. Thanks, everyone!