Its better that you have a word with the same doctor who has advised you the medications because Ascoril
comes in various forms like expectorant/ Ascoril-C/ Ascoril-D. The last 2 already contain cough suppressants and will take care of the dry cough
Dry cough at night may be due to constriction of airways- in such a case the Asthalin
or Ascoril Expectorant will take care of it as they have bronchodilators. She might benefit with an additional nebulisation or spray just before bed time.
Since counts were too high, a repeat blood count would be better.
Discuss these things with your doctor- if needed visit him again, have the chest and throat examined and get further medications.
If chest has signs persisting, its not wise to give cough suppressants.
Hope my answer helps you.
Wish a speedy recovery for your kid.