teething ???

Crystal
Ok it's been 6 years since my last child and I've forgotten everything OMG 
My LO is going to be 5 months on the 11th now I know she is teething by the way she tried to put her whole fist in her mouth and just naws on it the screams . 
Now my question is when they teeth do they get runny noses? 
My daughter literally just finished her antibiotics yesterday because of a ear infection