Possible Clues:

• Mountain known locally as Chomolungma
• The height of what always is in Latin
• That'll give the First Lady the height of a holiday
• The First Lady might have high holiday here
• She would have a high time if she were to have a holiday there
• News locale of 5/28/53
• The lady might have high holiday here
• A high spot for the first mate and others
• Always set askew on high
• Highest Himalayan mountain