Grimbeorn has not forgotten that Gandalf and the Elves are relying upon his hospitality, and he has some chores for you.
'As long as they remain, you must continue to perform the chores I ask of you. We have need of firewood, for so near to the mountains the nights can be cold even in summer. And there are still Orcs and wargs about, despite your efforts of the other day! Put an end to their raids, and teach them a lesson about persistence!
'Carry out these chores and I will allow the Wizard and the Elves to stay a little longer.'
Firewood can be found near the base of trees in the Beorning-lands, and Orcs and wargs still threaten the peace of the Beornings.
Grimbeorn is waiting for you at the Beorninghús.
Grimbeorn has not heard from the Elves at the Forest Gate in some time, and despite his reticence to restart trade with the Elves, he worries about the silence.
Thindrif invited you to search the corpses of the Orcs for some clue as to why they attempted to pass through the Forest Gate.
Thindrif thinks one of the Orcs might have escaped into the Beorning-lands during the commotion.
You found a crumpled note clutched in the hand of the Orc that fled through the Forest Gate.
Gandalf is inside the Beorninghús.