Hi Carolyn,
I don't know if you are still looking for COCONUT-FREE dish soap, however is you are I would recommend trying Chylands ONaturel OliPalm Liquid soap. It's all natural, synthetic-free and COCONUT FREE . The liquid soap is made with palm kernel oil and olive oil. If you are sensitive to Palm Kernel Oil as well, they also have the Original Castille soap, which is made with pure olive oil. Both liquid soaps are multipurpose soaps, they can also be used as a body wash and hand soap. They also offer unscented versions, along with scented liquid soap fragranced with only pure essential oils. The url to thier website is www.chylandsonaturel.com.
Hope this helps,
Alley
