I think that the 1st Bat of 73rd Regiment on Foot served in NSW, perhaps several tours ... (were these the Buffs ?)
Yes, from circa 1810 to circa 1816 thence onto Calcutta ... and back in NSW for another tour after the 48th went to Madras in circa 1824
Some of these men may have transferred to or from the 48th Regiment on Foot which had served under Wellington on the Iberian Peninsula leaving there in June 1814 for a tour of garrison duty at Cork... I've gone through the index to the book with the NSW history of the 48th, sorry no Rawley/Rowley there, but ... if your chap was ever in NSW, perhaps his name was mentioned in newspapers or in the Penal Settlement's records...
(Book = The Colonial Garrison 1817-1824, by Clem Sargent, ISBN 0 646 25612 2 first edition published c1994 )
Colonial Secretary's Papers 1788-1825 (

look under regiments as well as his surname/s) eg SEVENTY THIRD (73rd) REGIMENT Lieutenant Colonel of see O'CONNELL, Maurice Charles Philip (Sir) Paymaster of see BIRCH, John
http://colsec.records.nsw.gov.au/indexes/colsec/default.htmOnline Newspapers (

select Tasmania as well as NSW papers because Tasmania was part of the NSW penal settlement until separation in 1825)
http://trove.nla.gov.au/ndp/del/homeIf it turns out he was in NSW, please do consider posting request for help on the Aussie Board, lots of help available with experiences of seeking men(and their wives/camp followers) in those regiments.
Good Luck,
Cheers, JM (A descendant of a Spaniard who arrived in NSW with the 48th in 1817)