Hi F.,
Here's the list our pediatrician gave us to help when my daughter had a persistent cough last winter. Each one gave her symptoms a bit of relief. I used the same techniques the last time I was sick because I have unpleasant reactions to cold medicines, and they do help. The effects don't last as long as OTC remedies, but they definitely give relief!
1. As others have said, lots of fluids. Warm juice (apple) helped soothe her throat.
2. STEAM!!! Run the shower in the bathroom on full hot to make the bathroom very steamy, and play or have an extended story time while breathing the steam. It will help loosen the mucus that's running down the back of her throat.
3. Saline nasal drops. She'll hate it because it will make her gag a little, but it's another thing that helps the congestion and cough.
4. Use the humidifier in her room.
5. Children's Tylenol or Ibuprofen for the fever.
6. Honey. A spoonful will soothe her throat and help with the cough. The effects don't last long, but it may help her fall asleep.
7. Sleep with head elevated. In all honesty, my daughter didn't stay in one position long enough to actually keep her head elevated, but it can help.
8. As much rest as possible, even during the day.
Good luck!