Hi i am Dr Ahmed Aly  
  thanks for using healthcaremagic site ,
I had gone through your question and understand your concerns ..
  Actually from your given history i think your daughter may have a kind of 
rheumatoid arthritis that is commonly related to 
common cold especially with children .
 For my patients i may suggest some laboratory investigations to properly diagnose such cases with blood tests like ASOT ( anti 
streptolysin o titre ) , 
Rheumatoid factor Rf , ESR ( erothrocyte sedimentation rate ) , CRP to properly diagnose such cases .
 Treatments include Antibacterial like pinicillin , antipyretics like 
paracetamol , and topical gels for painful joints . 
Please click and consider a 5 star rating with some positive feedback if the information was helpful. Wish you good health,
Any further clarifications feel free to ask.