The question you had posted on May 18 2012, came to my knowledge only today (june 29th).
Though late the answer may be useful to others viewing public forum.
This child needs consultation for the following reason.
Pain 48 hours after the bite is indication of secondary infection due to bacteria. She may need antibiotic.
Ticks are not only present in pet animals: but also in the blades of grass. If your granddaughter was playing in grass, then it is better to take a medical opinion
If the cough
is severe and continuous, then it calls for medical consultation. Other wise that is not an indication.