HI Well come to HCM Even after trying some medicine for dry lips the condition does not improved then some systemic disease need to be ruled out and this is low hemoglobin, with the history of chronic illness, particularly low grade fever, for all of this you have to go through certain tests like, routine blood test, and some imaging studies, meanwhile you can drink more water to control the dryness, underlying cause of dryness of lips are very important, hope this information helps.