Ok, I have never tried this stuff, but you an use it on your pets, so it may be worth a shot before you cut her beautiful coat.
http://www.nontoxicsoap.com/101uses.html
also, you may try Dawn dish detergent, but read on it first to make sure it is animal safe. Also you can try baby powder, but I have no idea how well it would work on fur.
By the way, I noticed it was referred to as "bogo" at some spots, and I just want you to know that has nothing to do with my name on this forum. Bogo is the first part of my husband's last name and love is the first part of my maiden last name. So, don't worry, I don't sell the stuff or anything, it just looked like it may be useful.