There is a very convincing article on this subject that analyzes all the arguments that this solution would not have worked. It essentially boils down to, "even Tolkien has his plot hole(s)." See Related Links below for the full article.
The three eagles that rescued Frodo and Sam from the destruction of Mount Doom were Gwaihir, the Windlord, Landroval (Gwaihir's brother), and Meneldor.
When the battle at the Black Gate begins they play Mount Doom. From there they switch between scenes of Frodo in Mount Doom and the battle at the Gate. They play The Crack Of Doom, And then when the ring is destroyed they play The Eagles.
Mount Doom is in Mordor.
Mount Doom was actually modeled upon two active volcanoes in New Zealand : Mount Ngauruhoe and Mount Ruapehu .
Mount doom
Mount Doom, or Orodruin, is in Mordor during Sauron's reign. After Sauron's downfall it might be considered to come under the jurisdiction of Gondor.
In the fires of Mount Doom by Sauron
Orodruin .
To destroy the ring in the fires of Mount Doom .
because they didnt like the idea of having the government tell them what to do you doom doom
It is currently in the cracks of Mount Doom.
Destroyed in the fires of mount Doom