A 19-year-old man appeared in court accused of the murders of four siblings.
Reece Smith, his four-year-old twin sisters Holly and Ella and two-year-old Jordan died after a blaze swept through their home in Freckleton on January 7.
Dyson Allen was remanded in custody until December 17, when he will appear at Preston Crown Court.
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Greater Manchester Police said "inquiries are ongoing to fully understand the circumstances of the incident."
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He served in Margaret Thatcher's Cabinet as Home Secretary in 1989 and was also a former Governor of Bermuda.