He was educated at Cotham, Bristol and at Street John"s College, Cambridge (Bachelor 1853, Master of Arts 1866).
He was elected Member of Parliament for Brentford in a by election in 1886 and held it until the 1906 general election. On 17 January 1906 he was appointed a deputy lieutenant of Middlesex. Bigwood lived at Twickenham and died at the age of 80.
Bigwood married Marian Webb of Torquay in 1862.
23rd United Kingdom Parliament. 24th United Kingdom Parliament. 25th United Kingdom Parliament.
26th United Kingdom Parliament.
27th United Kingdom Parliament]
He was a member of the Society of Chemical Industry and a strong proponent of food product purity. In the 1885 general election, Bigwood was elected Member of Parliament for Finsbury East with a lead of 20 votes but lost the seat against the trend in the 1886 general election by 61 votes.