There are two Item Combination entries for the Long Branch that I have found in the items combinations file.

ItemCombination "CuttingTool_LOOT_WoodenBranch_A
Which results in Arrow Shafts

ItemCombination "LOOT_WoodenBranch_A_CuttingTool
Supposed to result in LOOT_WoodenStick_A

Only the first works.