When tThe last time his momther was hospitalized, because his family didn't have money, his mom didn't want to spend mo the family's wealth had all gone to her hospital fees. She felt deep shame at this, and so his mother swore never to be a burden or spend her family's fortuney again.

'When' and 'the last time' are mutually exclusive terms to indicate time - e.g. you can't use both.

She wanted her twoboth of her children to have alife the good life and no foreignt be weighed down by her debts.

We tend to use the word 'both' to express the idea of two people. You could say ‘She wanted all five of her children...." but when there is two it is more native just to use 'both of her children'.

While she was in the hospital, she worried about her kids a lot, not to wait to go through the discharge procedures, she ran out ofto no end, and, wanting to avoid burdening them both with the heavy fees, she fled the hospital.

I assume 'discharge procedures' means paying the bill but I could be wrong. 'Fled' fits better here.