'to come up with' : come up with, produce (something e.g. new ideas, answers to problems), especially when pressured or challenged.
If one comes up with ideas, answers etc., what would it mean if Mary was 'able to come up with her family problems' - it sounds as if, for example, the script writers of a soap were stuck for plot lines, Mary would tell them about problems in her dysfunctional family and they'd use those.
I don't think that's your intended meaning!
in spite of the fact that she could have been worn out by their financial situation NO
in spite of the fact that she was (nearly) worn out worrying about their financial situation.
she has been getting along with the house since she got divorced from her husband,
What you are trying to say here isn't clear. Relations with her husband may be strained, but she and the house are getting along fine!
'getting along with' :You could be asking how two people are getting along with each other (whether they are working/living together harmoniously or not.
...her husband, who only brought about bad moments in their lives
'to bring about' does mean 'cause something to happen' but we would not use it in this context.
...her husband, who only brought grief and unhappiness into her life.
Margaret Thatcher's downfall was brought about by her refusal to...
Margaret Thatcher's refusal to... brought about her downfall.
(Just been watching Michael Portillo's excellent documentary on Margaret Thatcher's legacy, and the Conservative Party.)
Student or Learner