Babies may be allergic too
Between allergy and cold there are some differences. If the baby is cold almost all the time, there is a possibility that he might actually have a nasal allergy, ie allergic rhinitis. The most common allergies in babies are produced by microorganisms from dust, animal hair or molds.
Some children may be allergic to pillow feathers , the wool of the blankets, the horse hair (sometimes used in mattresses).
Even though most experts do not consider tobacco smoke as an allergen, it certainly can aggravate allergy symptoms.
If you have a strong suspicion that the baby would be allergic to something, try to keep the “culprit” isolated for few days. If the culprit is the puppy, send it for a short holiday with friends or the cage. If you suspect that micro-organisms in dust could be responsible, carefully clean the baby’s room.
If baby’s symptoms are reduced after these experiments, perhaps you’ve identified the problem. Otherwise, make a visit to the pediatrician.