Harlington in London / Herdintone

There is an entry for this Harlington [variant spelling] in the Domesday survey [https://opendomesday.org/place/TQ0877/harlington/] [accessed 7 June 2019]; it reports a priest and {0.5 church lands" but not a church in it, though there must have been one there. Cox & Harvey (1907) list a baptismal font of the Norman period here. Noted in Pevsner (1951): "Font. C12, square bowl with round-headed blank arcades." The entry for this parish in the Victoria County History (Middlesex, vol. 3, 1962) notes: "Part of Harlington church dates from the 12th century, [...] and there was doubtless a church of some sort there by 1086, since Domesday Book mentions a priest at Harlington. [...] The church was probably founded by a lord of the manor, and also served the neighbouring manor of Dawley, which was under the overlordship of the lord of Harlington before the Conquest. [...] The nave is the oldest part of the church and dates from the 12th century [...] the south doorway remains as a very fine example of 12th-century work. [...] A baptistry was formed under the west tower in which the 12th-century font now stands. The font is of Purbeck marble and consists of a square bowl decorated with roughly carved arcading, a central stem with four angle shafts, and a square moulded base." Noted in Leach (1975) as a font made of Purbeck marble; no details [source given: RCHM, 1937, pl. 9]