Thank you for your question.
I am Dr. Su S. and I will try my best to help you.
Young babies of her age would not be able to cough up sputum.
They usually swallow it.
As she is not having fever, tylenol would not be needed.
Fever may not always be present in infection.
Humidifier is good as you have put in her room.
Please try to keep her well hydrated.
If you feel there is any nasal secretion, obstruction, you can use saline nasal drop.
If you notice any breathing difficulty, I would advise to take her to doctor for an examination.
I hope this information will be helpful.
If you have any query, please feel free to ask.
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Wish her healthy life.