I'd say Church of England, because (a) the stonework looks ancient, and there are few if any RC church buildings of that age; (b) RC churches I've been in tend to have a fair few statues around the place, and here there are none; and (c) I think a RC church would have a crucifix rather than a plain cross.
Having said that, I think it's likely to be C of E of a middle-to-high church persuasion, rather than low church. In simple terms, high church C of E tends towards the RC church in its rituals and ornaments, with an emphasis on the centrality of the Holy Communion. There are hints of this in the number of candles, and in the position of the book rest - set out for the "eastward" position where the priest celebrates communion facing the table (altar) with his back to the congregation. Low church (or evangelical) C of E places more emphasis on preaching and the word (Bible); often there would be no candles at all, and the priest would traditionally celebrate at the north end of the table.
In the past 50 years or so the distinctions have blurred to some extent, and churches at either end of the spectrum can be found set up for a westward position, where the table is pulled out from the back wall so the priest can celebrate facing the people.
Arthur