Stephen,
The 2nd Battalion sailed from Scotland in convoy in April 1942, arriving at Bombay during the first days of June. They were a part of the British 2nd Division. The battalion, less D Company, moved to Assam in March 1944. They then played an important role in the Battle for Kohima during April to June 1944. In April/May 1945 flew out of Burma to Calcutta, India.
There are two excellent book covering this period, both written by Lieut-Colonel Rex King-Clark.
The Battle for Kohima is now out of print but available through the library system. The second is Forward from Kohima November 1944 - May 1945 iwhich is available from the museum website bookshop.