From Nov 1 1858 (when the East India Company sold its Indian possessions to the monarch) till the end of 1876 (after which she styled herself the Empress of India), QueenVictoria was the monarch of India and ruled through her viceroys. In this period, she made the then Calcutta the Royal capital (of course, it became the Imperial Capital later). So, I guess, in that period, she was the Queen of India (in addition to her other territorries).
I am not clear what the original poster was asking, though.
On the second point, I think what is called the middle name is culture dependent: I know of lots of examples of multiword first names and multiword last names where the middle ones are not considered middle names. Thus, I knew a Arifa Ali Khan with Ali not being the middle name, but just the first word of the last name.