Not all of these items are necessary. Some items may be substituted for others. There are several general supplies you will need. You'll need soap to wash thoroughly before cooking and eating. Clothes that are washed last longer.
Soap also has some medicinal purposes for animals, so be sure to take plenty along.
Matches are also very important. They are needed to start fires for cooking, boiling water for washing, and providing warmth at night. If you use 2-3 matches per day, plan on taking at least 500 matches. In addition, a water keg or canteen can help you improve your chances of getting across deserts. Also, you might want to take along blank journals for your wagon team.