There are two Music Hall songs whose titles include Burlington:
the first is Burlington Bertie, which was composed by Harry B. Norris in 1900 and sung by Vesta Tilley;
the second is Burlington Bertie from Bow (1915), a parody of Burlington Bertie.
The second song is credited to William Hargreaves and was sung by his wife, the male impersonator Ella Shields.
Burlington Arcade is a fashionable shopping arcade in Mayfair, London.