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
• How a girl might be high over all the others
• Himalayan high point
• Always set askew on high
• This 4 down is always in Latin