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.