I wonder if feather and fledge are related etymologically, since both are related to flying.
I haven't been able to find any confirmation. Can you?

Edit: I looked ;up "fledge" in AHD, and it gives as first meaning, to take care of a young bird
until it is ready to fly. That reminded me of German word "pflegen" meaning to take care of.
I wonder what the roots of "pflegen" are.