Daily entries from the 17th century London diary
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Pepys describes him on 30 July 1660 as the sword-bearer of London. This position is defined simply as an officer in London who carries a sword before the lord mayor when he goes abroad.
http://dict.die.net/sword%20bearer/
From the City of London, Golden Jubilee site:
“Brigadier Neill O Connor, of Wilton, Salisbury, is the Swordbearer to the Lord Mayor of the City of London, a ceremonial role dating back to 1420. The Swordbearer is the most senior of the Lord Mayor’s three personal staff officers, known as the Esquires.”