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How to translate my mom's employer name in English?
-It is "Revolutionary Committee of the Chinese Kuomintang", which is one of the Democratic Parties in China. 

 I will take your suggestion to fill out this in DS260. But should I explaint this in a seperate paper and send it with DS260? or wait until they ask? How does my mom prove she quitted the party?
-Is there any regulation about the Party member who has not participated in the Party activities and not paid the membership fee and thus considered as quitting the Party as the Communist Part do? If yes, just write a statement addressing that.

Should she get a letter from her previous employer to prove this?
-If she can get it, that will be ideal.