"when you were a child a gave you away" doesn't make sense as written. Perhaps it is "when you were a child, I gave you away". Which means "When you were a child, I gave you to someone else for good to be raised by them". "give" by itself means simply handing something over to another person so they keep it. "give away" has a few meanings: 1) give something freely and casually (often to multitudes) as a free gift, etc. 2) to reveal - what should be held secret is released (given) in the open (away). 3) to expose or betray - relinquish (give) out of the protection (away). "giveaway" is a noun with the same meaning as above.