Answer:
When set loose I fly away. Never so cursed as when I go astray.
In Paris but not in France, the thinnest of its siblings.
My children are near and far. No matter that I know where they are. The gift I give them make their day. But if I were gone they would wander away.
Two little holes in the side of a hill. Just as you come to the cherry-red mill.
What is it something that you always have but you always leave behind?
I am the fountain from which no one can drink. For many I am considered a necessary link. Like gold to all I am sought for, but my continued death brings wealth for all to want more.