]There was only one relevant Moira, not a father and son, so the man who fought with distinction in the Am Rev War was the same as the Governer of Bengal.
I posted some information on this man some months back (see the archives). He had indeed some interesting connections - being an intimate friend of the Prince Regent who got him his appointment as Governor of Bengal (or as we learned in Indian schools, Governor-General of Bengal).
Since I am in Calcutta (now renamed to Kolkata), I wish to point out that this man is memorialized all over Calcutta's streets (which have now acquired new names, but everyone still uses the old names). I went to school on Rawdon Street (one of Lord Moira/ Hasting's subsidiary titles), and my brother went to school on Loudoun Street (the title of his wife, a Scottish countess in her own right). Moira Street was close by, and Hastings was by the Strand.
IIRC, Lord Moira - later cr Marquess of Hastings - replaced Lord Wellesley (and a slew of temporary appointments) as Governor-General of Bengal. Lord Wellesley's younger brother was - along with Wellesley himself - responsible for substantially extending the territories of British India. And he learned during this time much that he apparently later applied to his Peninsular campaigns (see Jac Weller's book for more).
I hope that this is not too off-topic.
Shinjinee