There is no official list of police before c.1840 when re-organised - Constance Radcliffe in "Shining by Sea p 43 quotes some more names for Ramsey gleaned from various sources (she doesnt give them) - Hugh Corlett 1815, Thomas Corlett 1819, Charles Cowle 1823, John Cleator 1824 Thomas Kewin 1827 and 1837, George Caine 1828, William Reed 1830, John Crow 1837 and 1843.
Chief Constables (roughly today's inspector) William Wilson app. 1813, W Carey (in place in 1824), John Caley (1825 dismissed 1829), John Douglas 1829 , John Reid (guess it is he you are after) appt 1839