How did Hester support herself?
Hester chooses to continue to wear the letter because she is determined to transform its meaning through her actions and her own self-perception—she wants to be the one who controls its meaning.
She gives away all her spare money to the poor, on people who actually have more than she does. She also makes garments for the poor, and her charity is perhaps a form of penance for her sins. Besides using the money she earns as a seamstress to support herself and Pearl, Hester also uses it to help the poor.
Her term of imprisonment over, Hester is now free to go anywhere in the world, yet she does not leave Boston; instead, she chooses to move into a small, seaside cottage on the outskirts of town. She supports herself and Pearl through her skill as a seamstress.
How does Hester support her family?
Although she is an outcast, Hester remains able to support herself due to her uncommon talent in needlework. Her taste for the beautiful infuses her embroidery, rendering her work fit to be worn by the governor despite its shameful source.