No, that's sort of circular.   

More correctly and with better precision, we have a duty to pursue someone's greatest good, and to effect that duty may mean that we need to be able to speak, to transact business, to secure care for someone, to have one's life free from threat while doing these things, etc (rights corresponding to duties). 

John, it's important to order these points a bit more clearly and 'contingently' in one's mind; otherwise one will be walking in circles and talking without making much sense and certainly without any progress.   But if that's what you want to do, then have at it.

Perhaps some small steps first here.   No one has a "right" to have children.   They have freedom to try to have children, but they have no right to them.     But once parents have children, they have a duty to care for them, and to help them develop.  They have a right to determine how their children will be educated!