Week old Harry Harper died after being bitten by a dog in Telford, Shropshire.
A statement from his family released by West Mercia Police reads: "As a family we are absolutely devastated by Harry's death and have no words to describe the loss we have suffered.
"At the present time we have no wish to speak publicly about yesterday's events and would ask that we are left in peace to grieve and begin to deal with our loss."
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A man, reportedly armed with a knife and a baseball bat, has been detained close to the event.
A remarkably mild night
Thousands of people have gathered in the centre of Manchester for a vigil in the wake of the terror attack.