Ethel Winstanley who lives opposite said she was "shocked and saddened" by the news that three children had been found dead at the property.
Joy Devis, who lives a few doors away and knew the family, said she was devastated, describing them as a "lovely family".
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Scotland Yard said two murder investigations have been launched following the separate incidents, which both happened in the past week.
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The Met Police says 143 firearms have been handed in at stations across the capital in just seven days, including two antique machine guns.