Mick Philpott, 55, and his wife Mairead, 31, broke down in tears at a press conference two weeks ago, just days after their six children were killed in an arson attack on their home.
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It is "clear" ministers cannot proceed with the current Bill, Sir Keir said, threatening to "work with all sides" to ensure revisions.
Rain will clear eastwards through Sunday but it will remain blustery.
Donald Trump has indicated he does not intend to block the release of thousands of secret files about the assassination of John F Kennedy.