Just an update for those tracing Metcalfes in the UK. The William Metcalfe of the title was born 2nd July 1803 but was not Christened until early 1804. He was the 5th child of 7 children to James Metcalfe and Ann Rayner(m.7th Sept 1794). The family being Ann-bap.march 1795burial 8 Dec 1798 Lucy-bap.April 1797mar 1 July 1817 to James White John-bap. Nov 1799burial 19 Dec 1859 Ann-b. 7 June 1800 William -b.2 July 1803 Thomas-b. 7 Nov 1805 Robert-b. 14 Jan 1808burial 26 July 1808
Also living in Cambridge at this time was a Robert Metcalfe and his wife Elizabeth Stubbings and family. Their marriage would have been before 1815, that being the Christening date of their first child Sarah.
I have yet to prove a connection here but it is highly likely that they are brothers.
Any help to progress this further is very welcome John