Clint
Baroda No 1 was a gift aircraft from the Gaekwad of Baroda (also spelled Gaikwar) in India, see here
https://en.wikipedia.org/wiki/Gaekwad_dynasty
As was the practice during WW 1, gift names were often "inherited" from one aircraft to another,
so the first Baroda No 1 was BE.2c 2521 used by No 2 Sq which crashed 3 April 1917.
Don't know if our usual site says when A3073 went to India and No 31 Sq but it inherited the Baroda No 1 title
Cheers
Stig
PS: If you scroll down the page you list you will come to the presentation aircraft section and A3073 is listed
among those and gives the appx date Sep 1917 for the assignment