What? You never heard of FIBIS? Perhaps it's time.
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Their main tool is a searchable database of more than a million names. These look to be mostly British names, but there are a substantial number of Indian surnames as well. The database was amassed from newspaper mentions, shipping records, property records, government files and so on.
Don't overlook the rest of the site. Although not as comprehensive as the names database, there is ample material here like photographs, reference sources and research advice, all worth looking into. You can register at FIBIS at no charge for access to additional materials.
Enjoy your exploration!
Don't forget to also check for your family history at NewspaperArchive and Newspapers.com. These are subscription databases, but they are among the most powerful research tools available for looking into family roots. And visit the main page of Free Genealogy Tools for more, umm, free genealogical tools.