Talk to the warrior in Lumbridge swamp to start the quest. (1-1-1-2)
Attempt to chop the tree directly west of the campsite.
Talk to Shamus. (2-1)
Travel to Entrana.
You may want to bring ingredients to make weaponry (e.g. combat runes, 3 imphides and thread; for more ideas, see the "Recommended" section of the Items required in the table above).
Run to the north of Entrana, then west to the dungeon entrance.
Enter the dungeon.
Craft your weapons now if you brought supplies.
Run to the southern-most part of the dungeon.
Chop the tree.
Kill the spirit.
Chop the tree again.
Craft the branch (use the knife, not the pestle and mortar).
Note: If you have not completed the Recipe for Disaster quest yet, you may want to get a second branch, craft it with the pestle and mortar, and keep the cinnamon for the quest. This will save you from making another trip to Entrana.
Enter the door to the east.
Wield your Dramen staff.
Enter the shed in Lumbridge swamp (north-east of the quest start).