This one I imagine to be a tad bit more upbeat. The tune following Aragorn's last verse.

The battle of the red dawn

We sing
the song, of Thorinuldûm.
of a siege,
upon our home.

We fought for kin,
our axes swung.
Now far and wide,
we roam.

The forge of Mahal burned bright that day!
To vanquish evil strong.

Many passed,
through Mandos halls.
Now feasting
ever long.

Broken gates
and crumbling walls.
warrior's blades
still sing.

A triumphant cry,
a champion's call.
the last red dawn,
did bring.

A white king felled by Durinson!
Vengeance, saw his fate.

Kíli
first, of his name.
His tale,
shall join the greats!

We honor those, we lost that day!
Defending kin and pride!

Our sorrowed hearts,
they ache! We weep!
Without them by our sides.