I am Dr Ravinder Sharma. On the basis of the information provided it appears your daughter has acute infection of tonsils with lymph
node enlargement . The location of the node you have mentioned is the place for lymph node of tonsil (Jugulo digastic node) and association with cough
also favors this as a possibility. I would advise you for a ENT consultation for the diagnosis and treatment. She may require some tests also but this has to be decided by examination of the patient.
I hope this answers your concern. Feel free to contact me if you require more information about it