Name of the mother who sold her children for money
In Jainism, the story you are referring to is that of Chandanbala. Chandanbala, originally named Vasumati, was the daughter of King Dadhivahan and Queen Dharini of Champapuri. Due to adverse circumstances, she was separated from her family and, through a series of unfortunate events, was eventually sold as a slave by a merchant for money. However, it was not her mother who sold her, but rather, she was sold by others after being kidnapped.
If you are referring to a specific story involving a mother selling her children for money, Jain texts typically do not glorify or highlight such an act by a mother. However, the story of Chandanbala is a prominent example where a noble woman suffered the fate of being sold, but not by her own mother.