There's a CarryAndDropItem package template. It's mostly used for NPCs carrying firewood from one pile to another as part of their daily routine. Several packages derived from this template have "Must Complete" flag set (the one in the Flags tab in CK). The problem is that CarryAndDropItem has no procedures marked with "Success Completes Package", so these packages never complete. As a result one can meet, say, Taarie from Radiant Raiment in Solitude carrying firewood well into the night despite her being scheduled to do that only between 08:00 and 12:00 in the morning.
I suggest simply uncheck all "Must Complete" in the packages and get on with it.
The list of affected packages is easy to get in CK: CarryAndDropItem -> Use Info -> click through all 32 listed packages. But, just in case, here it is (a few of the packages below are all day long, so are technically not broken, but whatever):
dunCGCarryItem
dunTG02MercCarryWoodPackage
MorthalJorgenCarryLumber10x3
SolitudeSorexCarryFirewood9x3
SolitudeTaarieCarryFirewood8x4
StonehillsSirgarCarryLumber10x4
StonehillsSwanhvirCarryLumber