When seeking information about the British, the encyclopedia named after them is a good place to start. This section of the online encyclopedia provides a good idea of what was happening in Britain and the societal developments that were occurring during the time that the Empire ruled India.
https://www.britannica.com/place/United-Kingdom/Early-and-mid-Victorian-Britain

On the other hand, this article from the BBC details what occurred in India over about the same period.
http://www.bbc.co.uk/history/british/modern/independence1947_01.shtml

This article details the history of the British East India Company, an important precursor to British rule.
https://www.qdl.qa/en/brief-history-english-east-india-company-1600–1858

While these other links provide information on the British Empire, this one provides a counter view by looking at India.
https://www.culturalindia.net/indian-history/index.html