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I deem it to be closer because of the Nag ride and time of day, and there be some Churches that have adopted the name in the Blackheath area along with the olde school Haberdasher's Aske Hatcham.
Haberdaschers' Aske's Hatcham College.
Newcross has three churches with Hatcham as an attachment,
Hatcham was later called New Cross, which is at the bottom center of the map linked below. New Cross is believed to have taken its name from a coaching house originally known as the Golden Cross, which stood close to the current New Cross House pub. The diarist John Evelyn, who lived in Deptford, wrote in 1675 that he met a friend at 'New Crosse' in his coach before travelling down through Kent and on to France.
The area originally known as Hatcham (the name persists in the title of the Anglican parishes of St. James, Hatcham along with its school, and All Saints, Hatcham Park) was referred to in the Domesday Book of 1086 as Hacheham. It was held by the Bishop of Lisieux from the Bishop of Bayeux. According to the entry in the Domesday Book Hatcham's assets were: 3 hides; 3 ploughs, 6 acres (24,000 m2) of meadow, woodland worth 3 hog and rendered £2.
Chart showing the number of references in each month of the diary’s entries.