Reeves was born in 1815 in Fordingbridge, Hampshire. He studied under Thomas Loader of Romsey in Hampshire, and Richard Suter (father of Richard George Suter[1]) and Annesley Voysey of London. From 1843 he was architect and surveyor to the Metropolitan Police, designing and superintending forty-four new police stations. In 1847 he also became architect to the county courts in England and Wales, established the previous year; he designed and superintended sixty-four new courts across the country.[2][3]
He maintained a practice in London with Henry Annesley Voysey from 1847 to 1852, and with Lewis George Butcher from 1853. His private commissions included Holy Trinity Church at Coalbrookdale, Shropshire.[2][3][4]
His style was mostly a version of Italianate architecture. A medal was awarded to Reeves for services in connection with the exhibitions of 1851 and 1862. He died in Halterworth, Romsey in 1866.[2][3]