ARNICA
Wherever there is bruising
either ARNICA cream applied locally to the bruise or given as tablets

ACONITE
This is a really good remedy at the onset of many acute conditions - give it first
You have been out in the cold and now you can feel you are coming down with something.
A cough is just starting
You wake restless and anxious at midnight
The patient is often anxious
useful in panic attacks
Also after a sudden fright
after a car accident when you still feel anxious
Anxious asthma

ARSENICUM
Stomach upsets with diarrhoea and vomiting
especially if the diarrhoea is burning
you feel you won't recover

BELLADONNA
For most temperatures 
HOT and DRY
Throbbing
The pupils are dilated
May often follow after ACONITE the cough or cold is proceeding and now the temperature is soaring
the child wakes at 3 am with a dry heat
If you are concerned that your child may have something more serious than a temperature give the remedies and contact a hospital.

CHAMOMILLA
Often suggested in teething and can be given incorrectly
These patients are angry - without the anger think of a different remedy
The baby needs to be carried from room to room and nothing pacifies
Colic in infants that makes them cross  

CALCAREA CARBONICA
This remedy is mainly CALCIUM and so is frequently needed in baby illnesses where there is such a large amount of growth going on.
The most common remedy for teething - grisly and cannot settle with clammy skin
Children that sweat easily. Wake at night with head sweats or sweat easily after a short run.