I am going to try this recipe for liquid dishwashing soap from naturemoms.com.
I have tried MANY recipes for natural dishwashing soap, and not had good results.
Hope that this one works!

Natural Dishwasher Soap Recipe

1/2 CUP LIQUID CASTILLE SOAP *do NOT use regular liquid soap!*
1/2 CUP WATER
1 TEASPOON FRESH LEMON JUICE
3 DROPS OF TEA TREE EXTRACT
1/2 CUP WHITE VINEGAR

COMBINE WATER AND LIQUID CASTILLE SOAP. STIR.
ADD LEMON JUICE, TEA TREE EXTRACT AND VINEGAR.
STIR UNTIL EVENLY BLENDED.
STORE IN A SQUIRT TOP BOTTLE.
USE 2 TABLESPOONS PER DISHWASHER LOAD.

CAUTION! DO NOT USE REGULAR SOAP IN PLACE OF CASTILLE, UNLESS IT IS LOW SUDSING SOAP….. OTHERWISE, YOUR DISHWASHER WILL OVERFLOW!I’ll let you know!