Shaw was educated at the Trafalgar Square primary school, Stepney, Coopers' Company School and University College, Southampton. He was a councillor on Stepney Borough Council 1934-38, Ilford Borough Council 1952-65 and the London Borough of Redbridge from 1965.
Shaw contested the constituency of Ilford South six times between 1964 and 1979, twice serving as its Member of Parliament from 1966 to 1970 and from 1974 to 1979, when he lost the seat to the Conservative Neil Thorne.
- Times Guide to the House of Commons 1979
- Leigh Rayment's Peerage Pages [self-published source][better source needed]
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