Look for mounds of dirt (see image), get close to them and use a mole rat from your inventory. A large mole rat will spawn on top of the dirt mound, click it to receive 1 A Large Mole Rat
To find more mole rat nests, run around the cliff walls of the western part of the zone - pretty much anywhere that's grassy. Only one mole rat nest is up at one time, and they despawn after you obtain a large mole rat from them - but it seems that the next one to spawn will always spawn near you rather than in a random location. If you're running EQ2Maps, all the mole rat burrow locations are marked.
Do this until you have 6 total large mole rats
Head to Falconer Hill. The hill is completely flat on top, you'll want to get up there. You'll get a message "The Great Hawk above appears to notice you".
Use the Large Mole Rats from your inventory - if you're in the right place the game will emote "The mole rat freezes, scared." Once you've placed 6 of them, The Great Hawk will come down.
Strategy
With stats inflated the way they are these days, it should be possible for most classes to solo this thing, although mages might have a tough time. Doing the Feather collection and Shell collection quests for their stat-granting gear may help.