Possible Clues:

• Everything about head of Government reflected disease
• Doctors call it parotitis
• Make Mother a mere afterthought and you'll get it in the neck
• Infectious disease, making neck glands swell
• Complaint in letter from Greek politicians
• Swollen glands cause
• Infectious glandular disease
• One target of a childhood vaccine
• Ailment causing swelling
• 'Quiet, quiet!' originally stifled disorder