Where was The Shuttered Room filmed?
1967 film by David Greene
The Shuttered Room (1967) was filmed in Dover and Faversham, 2 places named in its Wikipedia article's Production section, in the United Kingdom. Wikidata records no filming location for it at all, so the article is the only recorded source. Each place says where its claim comes from.
Places per Wikipedia's Production section
Wikipedia’s Production section names 2 places. Each links to the sentence that says so.
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Towns & cities
Dover
England
Town and major ferry port in Kent, South East England
“South Foreland Lighthouse in Dover also features as the exterior of Aunt Agatha's home.” Wikipedia
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Towns & cities
Faversham
England
Town in the English county of Kent