The term 'Bombay Bigwigs' refers to two important positions in the city of Bombay (now known as Mumbai), India. The first is Rajahs, a title given to rulers of Indian princely states. The second is Sirdars, a title given to military commanders or leaders of large groups of people. Both titles were held by powerful and influential figures in the city of Bombay during the 19th and 20th centuries.