Hi!i'm a newbie!Excellent subject!i think Frodo did'nt hand over the ring to
Bilbo after their reunion as he knew Bilbo was devoured from the rings like
Gandalf told him so he felt distrust and therfore reluctantly handed over the
ring. Frodo knows all who see it desire it, even Gandalf could be seduced by
it's power so Bilbo could'nt have been an exception? Frodo loves Bilbo
dearly,but i think in the matter of the ring he distrusts Bilbo.Hopefully my
answer has proved to be of some interest to you.
Thankyou!