Historical data about the monastery and its construction are unknown.
The 'Description of Ayutthaya', a document probably compiled early in the Bangkok era from the memories of people who had lived in Ayutthaya before 1767 CE, mentioned that Wat Kratoe stood near Oil Press Village, where sesame oil and 'luk mai' oil (5) were extracted and sold. [1]
The monastery is shown as Wat Katoe (วัดกะเต่อ) on the 1974 CE Fine Arts Department (FAD) map. The 1993 CE FAD map does not name the site, while the 2007 CE map lists it as Wat Kratoe.
Based on Nunoi's input, the site was at the geographical coordinates: 14° 20' 19.6" N, 100° 33' 38.5" E.
Footnotes:
(1) In Thai, กระเต่อ is used as an adjective meaning “short, stunted, truncated,” often describing something cut off or incomplete. Wat Kratoe likely refers to a temple associated with something short, cut off, or incomplete—possibly a prang, chedi, or Buddha image that was damaged or left unfinished.
(2) Sub-district called after the village Ban Samphao Lom near the Chao Phraya River. The village is on the Monthon Krung Kao map (1916 CE). John Bowring (1857, London, John W. Parker and Son, West Strand), in his book ‘The Kingdom and People of Siam’, wrote: "Between the modern and the ancient capital, Bangkok and Ayuthia, is a village called the “Sunken Ship,” the houses being erected round a mast which towers above the surface at low water."
(3) Likely Tha Rap. The 'Description of Ayutthaya' mentions that at Flat Landing Village, people act as agents for the sale of phaniang water pots with ears that Chinese, Khaek, French, English, Dutch, and Portuguese traders buy for holding indigo and lime. (Baker, 2011)
(4) The provincial hospital here is the new hospital on U Thong Road, built in 1940 CE, replacing the Panchamathirat Uthit Hospital, established in 1912 CE by Phraya Boran Ratchathanin and, at that time, situated opposite Chao Phrom Market.
(5) 'Luk mai' oil, also called 'Samrong' oil, was made from the 'Sterculia foetida', a type of chestnut, also called bastard poon tree, hazel sterculia, or wild almond.
References:
[1] Baker, Chris (2011). Before Ayutthaya Fell: Economic Life in an Industrious Society. Markets and Production in the City of Ayutthaya before 1767: Translation and Analysis of Part of the Description of Ayutthaya. Journal of the Siam Society. Vol. 99. p. 53, footnote 36, and p. 56.