Peter Lawrence, father of missing Claire Lawrence from York, said the bill would help to ease the the financial and practical complications that families are faced with, when loved ones disappear and no death certificate can be issued.
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New law will protect the dignity of both men and women, the Government says.
Transport Secretary Chris Grayling has survived a vote of no confidence, amid claims his credibility will "never recover" .
Mark Smith has confessed to killing 38-year-old Jillian Grant, whose body was discovered in North Shields on December 25 last year.