I disagree.
The Arniston was an East Indiaman, it was was requisitioned by the Royal Navy in 1814 as a troop transport to bring wounded soldiers of the 73rd Regiment back to England from Ceylon.
It was wrecked and only 6 men of the 378 aboard survived and that included the crew.
see: http://en.wikipedia.org/wiki/Arniston_(ship)
Assuming that a Battalion numbers around 600 men that still equates to 2 ships per battalion.
Incidently, the Arniston was 176' from stem to stern and 45' across the beam.
A further wreck of HM Troopship Birkenhead in 1845 reveals that this ship which was 210' in length and 37' across the beam was only carrying 643 people fully laden, no where near the 1,200 you would suggest.
http://en.wikipedia.org/wiki/HMS_Birkenhead_(1845)
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