Stoneleigh Apartments. Come home to stonleigh apartments! Thank you very much, gb4, for the great 5 star rating of our community! Stoneleigh Apartments Houston 840+ for 1 & 2 Bed Apts from www.umovefree.com Our impeccably kept grounds and lush landscaping are sure to please. At stoneleigh apartments in canastota, find a great place to live. Annes square and the main shopping area.