Welcome to HCM
It is more than 1 month you are having fever
and cough but even if it is Pneumonia
it should have resolved, what is the cause of no response to treatment?
Such patients are said to be having PUO that is fever of unknown origin? you should possily get hospitalized and investigated for some Atypical infection
or Malignancy and some rare causes like connective tissue
disorder or auti immune disorders.
I know it also depends in which part of globe you are, It is also important to know Immunity status of patient.
If it is infection in lung causative organism should be defined if possible, Atypical organisms like Tuberculosis
and Fungus are the culprit many times.
Please be hopeful ,I am sure if further investigations give clue to the cause and once cause is detected it can be treated properly.