Davenport is a district of Stockport, Greater Manchester, England; until 1974, it was part of Cheshire. At the 2011 census, it had a population of 14,924. Davenport's name arose from the building of Davenport railway station at the behest of the Davenport family, who since the later 14th century had owned Bramall Hall in the neighbouring village of Bramh…Davenport is a district of Stockport, Greater Manchester, England; until 1974, it was part of Cheshire. At the 2011 census, it had a population of 14,924. Davenport's name arose from the building of Davenport railway station at the behest of the Davenport family, who since the later 14th century had owned Bramall Hall in the neighbouring village of Bramhall. The family name came from an ancestral estate between Holmes Chapel and Congleton, in Mid Cheshire. The estate is recorded in the Domesday Book of 1086, where it is listed as Deneport.