Heaton Norris is a suburb of the Metropolitan Borough of Stockport, Greater Manchester, England. It is one of the Four Heatons, along with neighbours Heaton Chapel, Heaton Mersey and Heaton Moor. Originally within the boundaries of the historic county of Lancashire, part of Heaton Norris was annexed to the County Borough of Stockport in 1835; Hea…Heaton Norris is a suburb of the Metropolitan Borough of Stockport, Greater Manchester, England. It is one of the Four Heatons, along with neighbours Heaton Chapel, Heaton Mersey and Heaton Moor. Originally within the boundaries of the historic county of Lancashire, part of Heaton Norris was annexed to the County Borough of Stockport in 1835; Heaton Chapel and Heaton Moor followed in 1894 and the remnant in 1913.