Welcome to AP, Turbo.
" A child of the pound and the crown " is in a line in a Babyshambles song 'Bollywood to Battersea'. That explains its currency:
" It's a long way from Bollywood to Battersea
I was a child of the pound and the crown "
the song goes on to " She was a child of the movies and the dollar"
The expression was used to describe British rule, or British control, beyond Britain.So an article from the Brisbane Institute uses it. The piece is about the New Hebrides and other islands in the Southern Hemisphere :"... colonial oversight of British interests in the New Hebrides. These focused on unified postage, commercial, legal and financial services for the territories with the Pound and the Crown as key components "
So a 'child of the pound and the crown' must be intended to mean someone born under British rule. That fits the lyric about coming from Bollywood, the Indian Hollywood, in contrast to the woman who comes from the USA , the land of 'movies' (not 'films' ) and the dollar.If to be taken literally then this man must be about 60 or more so perhaps 'a British way or influence' or 'British way of thinking' is intended (but see below

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Of course, as all Babyshambles fans know, the lyric ends with the singer singing that he was a a "child of the four minute warning" which means he was a child of Britain during the Cold War. But then what do you expect from a band founded by Pete Doherty ? Sense?
