Stilgoe was Engineer to the Metropolitan Water Board from 1919- 1933.
He was City Engineer of Birmingham (1906) responsible for town planning schemes and arterial road construction. 
He oversaw the building of the ‘Musgrave’ Engine House at Lea Bridge (1922/24), housing a vertical triple expansion engine.
His enquiries led to an Act of 1921 authorizing major extension works, such as reservoirs, trunk mains, pumping machinery and pioneering rapid filtration techniques.
In 1926, he presented a paper to the Institute of Civil Engineers regarding the efficiency of the modern tripe-expansion pumping engine at Lea Bridge and engaged in a debate with the former Chief Engineer, WB Bryan.
Stilgoe was awarded a CBE in the New Year Honours Lists of 9th January 1932.
The Hampton Waterworks includes an early 1930s Art Deco pump house built by, and named after, Stilgoe.
Stilgoe authored an article on the work of the Metropolitan Water Board in 1924.
 GLC Information
 Discussion. The Triple-Expansion Steam-Engine As Applied To The Pumping Of Water, With Special Reference To The Plant At Lea Bridge. Authors: R T Smith; A P I Cotterell; B W Bryan; H E Stilgoe; A Honeysett; R A S Twaites. Source: Minutes of the Proceedings, Volume 222, Issue 1926, 01 January 1926.
 Greater London Industrial Archaeology Society Newsletter August 2005