When that Julie song (My Heart is Beating) came, many ignorant people said that that was the first English song in a Hindi film. Many websites still say that.
People with a little more knowledge pointed to the poem read by Shanta Apte in Duniya Na Mane (1937) and many people still believe that.
However, people who have the first volume of Hindi Film Geet Kosh know that the first English song in a Hindi film is from Karma (1933) sung by Devika Rani. All songs of this film, including the English song, can be heard here (in the Girdharilal Vishwakarma Collection)
Disclaimer: We know that full information of Indian films is not available, many early films are lost, records were not made, magazines and books do not mention every single film ever certified, therefore, the first of anything must remain tentative, as of now, based on the present information.
Now You Know!