Lymm /ˈlɪm/ LIM is a large village and civil parish in Warrington, Cheshire, England.Lymm was an urban district of Cheshire from 1894 to 1974.The civil parish of Lymm incorporates the hamlets of Booths Hill, Broomedge, Church Green, Deansgreen, Heatley, Heatley Heath, Little Heatley, Oughtrington, Reddish, Rushgreen and Statham. According to the 2001 Census it had a population of 10,552.he civil parish of Lymm incorporates the hamlets of Booths Hill, Broomedge, Church Green, Deansgreen, Heatley, Heatley Heath, Little Heatley, Oughtrington, Reddish, Rushgreen and Statham.