Is it true that baby can catch cold and cough when teething? If yes, why so? Are there ways to make baby feel better rather than giving them synthetic medicine? TIA!

Well, if any cold or cough (due to a cold) or fever is not because of teething itself. Rather, it is because when babies are teething, they like gnawing on things to soothe their gums. By doing that they introduce germs into their system. Although a scary thought, I don't stop my baby from doing that because it's their way of boosting their immune system.