Richard Jameson is thought to have been shot by the Loyalist Volunteer Force, a dubious and late signatory to paramilitary ceasefires.
The paramilitary splinter group, the Loyalist Volunteer Force (LVF), issued a statement denying the two men had any links to its organisation.
The Loyalist Volunteer Force was linked to the murder, but denied this.
Mr O'Hagan's killing was claimed by the Red Hand Defenders, a cover name used by both the Loyalist Volunteer Force (LVF) and Ulster Defence Association.
On Tuesday, Mr Maginness had urged the PUP to sever its ties with the UVF, following the group's bitter feud with the rival Loyalist Volunteer Force.
BBC: NEWS | UK | Northern Ireland | PUP 'being pushed from politics'
At the memorial of flowers placed by Mr Branagh's friends and family at the spot where he died, there were also messages of support from the UDA and the Loyalist Volunteer Force.
But the anger of both Protestant paramilitaries and politicians was given a dangerous focus by the assassination in prison, just after Christmas, of Billy Wright, a member of the Loyalist Volunteer Force, a fringe loyalist group opposed to peace talks.
The widow of a prison officer murdered by the loyalist parmilitary Ulster Volunteer Force in 1993 has welcomed the news.
David Ervine of the Progressive Unionist Party, which has links with the loyalist paramilitary Ulster Volunteer Force and Red Hand Commando said he did not see the UFF statement as a threat.
But Mr Ervine, whose party is linked to the loyalist paramilitary Ulster Volunteer Force, said on the BBC's Inside Politics programme it was now inevitable that the IRA would deal with the arms issue.
But in an eleventh hour move, David Ervine of the Progressive Unionist Party, which is linked to the loyalist paramilitary Ulster Volunteer Force, said he and his assembly colleague Billy Hutchinson had signed Mr Trimble's motion.
The loyalist who founded the modern-day Ulster Volunteer Force has told BBC's Spotlight the group should disband.
It is believed Mr Moffett had strong links to the Ulster Volunteer Force and was well-known in loyalist circles.
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