Within the first 5 nights, you should have a discussion topic of "Let's seek a better shelter". This will begin the quest "Woodcutters Marks", send an expedition to search the southeast part of the map to trigger the event. Select the option to "Look for more information about the workshop" and this will trigger the quest "Woodcutters Trove". Now, send an expedition to the west of camp to find a tile marked with an exclamation point. Search here to trigger another event and choose the first choice each time to keep digging and find the woodcutters' package.
See the video below for more information.