Back to the tattoo. It represents love. It is a symbol of what it means for you to love. You could keep it for now to help remind you of the love you had, and the love you may find again - even if that is with someone else. Don't think about the name, think about its meaning.
You will need to be their mother and father and they need to see a strong man for you to do that. My mother raised 4 boys, including a newborn when she left her WH. All i felt from her was love, and her strength when i was 7 still helps me to deal with my WW today.
Just cos things are going right, doesn't mean that they were always wrong.