Hi Sammy's Mommee! Congratulations on your baby. I would mostly agree with your doctor that you just let colds run their course. However, I would not give my baby tylenol. Tylenol is horrible for your liver. Here is a quote from wiki:
Acetaminophen causes three times as many cases of liver failure as all other drugs combined,[14] and is the most common cause of acute liver failure in the United States[15][16] , accounting for 39% of cases.
So, we don't use it in our house except on very rare occasions. If a child has a high fever and cannot sleep at night, then we will give one dose. We almost never get to that place though. Remember that a fever is a very good thing. It is your body's way of killing off the virus. We don't treat a fever at all, unless it is getting too high. Instead, we use homeopathy or essential oils. I would probably use homeopathic pullsatilla (hylands brand, 30x) 2 tablets each dose (they dissolve immediately, so there are no choking hazards). You cannot overdose on homeopathy, and they are extremely safe. And, if she is stuffy, I would mix 10 drops of eucalyptus essential oil with about a Tbsp of almond oil (or another light oil) and rub it on her chest and back. She'll enjoy that, it smells good, and it helps tremendously with colds, stuffiness, and croup. But, space the oil at least 20 minutes from the homeopathy. Blessings! Feel free to send me a private message if you have more specific questions.