Moses' mother was given divine comfort even though it was difficult, she knew that since Allah swt made a promise he'd fulfill it...
We are not talking about prophets or their mothers here, we are talking about everyday human beings. Who engage in sexual activity and think that there is no responsibility to come with it. Your mother had an obligation toward you, having you should have meant that she'd sober up act like a mother and your father getting a job to support his young family. Them being the way they are isn't an excuse for adoption.. forgive me but they are just bad people.
I believe the lady above loves her child, after all it is a creature that has been growing beneath her heart for nine months, and Allah swt placed it in that safe place to create amongst other things a deep bond between the two, no one has a right to pry them apart no matter what the reasons.
I don't believe in giving a child up for adoption but I do believe in the Islam enforced 'sponsorship' I don't wish to speak of charitable acts but practically everyone I know is sponsoring a child in some poor country even with as little as 70c a day, she could put her story in one of those programs if she really can't afford it, and I know she'd receive aid in no time, but I believe that aside from very basic things all a child needs is love and nurture...
I am sorry about your losses, but I am not sorry about my opposing your point of view, though you are entitled to your opinion.
peace