The coroner has indicated she is likely to give a narrative verdict on the death of seven-week-old Axel Peanberg King.
Dr Shirley Radcliffe told the inquest that she had been unable to find any evidence to suggest a "clear cause" of death.
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The 20-year-old was found fatally wounded on Roth Walk, near Finsbury Park, north London at around 3am on Saturday, Scotland Yard said.
Police have arrested a man wanted in connection with a burglary at the home of pensioner Richard Osborn-Brooks.
The rally comes after it emerged that the Home Office destroyed thousands of landing cards documenting the arrival of windrush-era migrants