We use Infants' Tylenol to try to relieve our toddler daughter from the fevers caused by her current Hand, foot, and mouth disease, which is a human illness and not to be confused with the infamous Foot-and-mouth disease, an animal illness.

Tylenol doesn't contain aspirins. It seems that Tylenol is more popular than aspirins in treating fevers because the latter tend to irritate the stomach while the former doesn't. See http://en.wikipedia.org/wiki/Tylenol#History.