She knew from a young age that her sole 'purpose' (in life) was to be a writer. [=she knew that all she wanted (in life) was to be a writer]
We were happy to know that the money was being used 'for a good purpose'. [=for something useful, important, etc.]
There's little/no 'purpose' in restarting the process. [=there is little/no reason to start the process again]
(..) I never said anything like that. Let's see what she's saying. There's no other way. Your child won't come back. My husband won't get hanged. Her husband didn't do it on purpose. They're good people for giving you a solution. Take the money and settle it. You can use it in your situation. (..)2011 A Separation