my baby screams bloody murder every night from around 8 to 12. i think he is teething but he also has a rash that doctor said was eczema. any mommy went through this? how did you deal with it.

When feeding my son, he is so agitated (you would think he is not hungry) but if you take out the bottle he starts crying because he is actually hungry. It takes an hour to feed him. I thought it was gas so i burp him constantly but same thing keeps happening.
Any mommy went through this?