Added scenario just for fun:
The first one to the top of the castle stairs (where the trolls were) gets a prize, meaning despair for the loser:
If Eomer and Gimli reach the top of the stairs, they receive The One Ring and little baby Elora Dannon dies.
If Madmartigan and Sorsha reach the top of the stairs first, they retrieve baby Elora safely, but the One Ring goes into the hands of Sauron.