Lots of mentions in The Times in the 1840-50-60 of Molison Notice to Shippers.
This one might be interesting as it indicates the company name which appears frequently ...
For Bombay direct the splendid fast sailing ship Earl Grey. A 1,750 tons, belonging to D. Dunbar and Sons of Limehouse. Alexander S Molison Commander loading at the East India Docks. Has very superior accommodation for passengers and will carry an experienced surgeon. For freight or passage contact Messrs R. Eglington and Co, Old Jewry Chambers or Henry Thompson and Co, 2 Cowpers Court, Cornhill.
The Times April 22, 1844
Jonathan