]... her cousin Edward Cooper became an Evangelical, and her brothers James and Henry flirted with them, too, but don't seem to have really gone over to the Evangelical side, at least whilst JA was alive.

James and Henry in turn edited theological periodicals, IIRC. Is there anything in them that smacks strongly of the evangelical or of the Oxford movement precursor? Jane Austen's writings strike me as the products of a more than passive CofE mind. Her writings went public, it seems to me, with severe criticism of a certain type of cleric, the career-minded rather than the service-minded.