Hiya,
yep, my Little darling also suffers with a flea allergy, and it is indeed cat fleas they are allergic to. If you run your hand over her fur, particularly where her tail meets her back, you may see some tiny black flecks - the fleas poo. Nice huh? You probably won't be able to see the fleas though.
Daniel (my retriever) gets rad blotchy patches which he would gnaw at if we let him, and these patches can become infected if not treated. Best get your baby to your local vet.
By the way, what breed is she? And I would recommend using Frontline flea drops (from your vet only) and treating your house and dogs bed with a product called Staykill, which kills fleas before they have hatched in your carpets/dogs bed etc.