It was also confirmed that shooting will be based at the Royal Artillery Barracks in Woolwich.
Rigby was attacked while walking outside the Royal Artillery Barracks in the Woolwich area of south London.
The scene of the killing, close to the Royal Artillery Barracks in Woolwich, remained cordoned off as police searched for clues Thursday morning.
The incident unfolded Wednesday afternoon when officers responded to reports of an assault just a few blocks from the Royal Artillery Barracks in Woolwich.
The soldier had apparently been on duty in central London and was returning to the Royal Artillery Barracks in Woolwich when he was attacked, Raynsford said.
Police said Rigby was killed in a daylight attack a couple of hundred yards away from the Royal Artillery Barracks in the southeast London district of Woolwich on May 22.
CNN: Second suspect charged with murder in UK soldier's slaying
Last week's attack near the Royal Artillery Barracks shocked people across the United Kingdom, sparked a series of arrests over the weekend and prompted officials to announce plans for a task force to tackle extremism in Britain.
The man found in Glasgow is believed to be based at the Royal Engineers' Waterbeach barracks near Cambridge.
BBC: NEWS | UK | England | Cambridgeshire | Sally suspect 'discovered dead'
Royal Marines from a Somerset barracks have returned home after a final six-month deployment in Afghanistan.
The other two soldiers were both of The Royal Highland Fusiliers, 2nd Battalion The Royal Regiment Of Scotland based at Glencorse barracks in Midlothian, near Edinburgh.
The Royal Engineer had been based at the Brompton Barracks in Chatham.
About 1, 200 people watched soldiers from 1st Battalion The Royal Irish Regiment march on to the parade square at Clive Barracks, Ternhill.
The grant bid was made on behalf of the Reading Community Covenant Partnership, which is made up of Reading Borough Council, the Territorial Army HQ at Brock Barracks, the Reading Local Strategic Partnership, the Royal British Legion and the Soldiers Sailors Airmen and Families Association.
They were presented with their medals at the town's Merville Barracks by the princess, who is Colonel-in-Chief of The Royal Logistic Corps.
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