A promised memorial for murdered soldier Lee Rigby at an historic chapel opposite his Woolwich Barracks will not actually include the soldier's name, Greenwich Council have announced.

The council says the plan, which has the approval of Drummer Rigby's family, will see a memorial at St George's Chapel to all fallen Woolwich servicemen and women.

A stone at the spot will read: "To mark Woolwich’s history as a Barracks Town and to commemorate all those service men and women who have served or lived in Woolwich and who have given their lives in the service of their country."

In addition, a scroll kept at the town hall will list the names, including that of the fusilier who was murdered by Islamic fanatics last May.

Greenwich Council agreed in June to honour the soldier near where he died after petitions signed by around 80,000 people called for a tribute.

That news was initially welcomed by people including Mayor of London Boris Johnson, despite concerns by some, including local MP Nick Raynsford, that it could attract extremist elements.

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But the nature of the memorial announced this week has disappointed some, including Lorna Taylor, who spearheaded the memorial campaign and whose son served alongside Fusilier Rigby in Afghanistan.

The 46-year-old from Thamesmead told News Shopper: "It's not right. Greenwich Council had said he would get a memorial of his own."

She added: "They are terrified of attracting extremists. This is not a memorial for him.

"Lee Rigby should have his own memorial, either where he was killed or somewhere else."

But the Leader of Greenwich Council Councillor Denise Hyland said, though she had "empathy" with campaigners, the memorial was the result of discussions between members of the Rigby family including his mother and stepfather, biological father and partner.

She said: "At the end of the day, if you were in my shoes, you'd do what's best for the family and what's best for the army and what's best for the borough in terms of what everyone can agree on. The family are perfectly, perfectly comfortable with this memorial.

"If everybody is behind this, if everybody is comfortable with this, as an ordinary person in the street why would I not be comfortable with that.

"Anybody who's disappointed needs to check their own feelings and say 'if the family are happy with this then that's good enough for me'."

Coun Hyland said the family liked St George's Chapel as it would offer a place for quiet reflection and be a far better place to visit than the scene of the fusilier's death.

She said: "The chapel, run by Heritage of London Trust, was historically the garrison church for the Royal Artillery and in recent years has been used for Remembrance Day services.  The memorial would be sited in the garden area and is a very fitting and peaceful location.

And she pointed out there was no memorial for the Woolwich dead, including victims of the IRA Kings Arms pub bombing. This memorial would address that.

She said: "Fusilier Lee Rigby will always be remembered by us all, and particularly by the people of this borough."

In a statement wife Rebecca Rigby said: "I know St George’s Chapel and it is a peaceful place and I think the memorial proposals will be fitting."

His mum Lyn Rigby said: "I support the council’s plans and will feel able to visit the memorial in the chapel."

Greenwich Council will also be asking people to put forward names of Woolwich people who gave their lives in the Second World War for the scroll. The memorial could be unveiled as early as May next year.

Leader of Greenwich Conservatives Councillor Spencer Drury said: "I believe that our war memorials need to be updated to include all personnel killed since the Second World War, as part of a wider restoration project to  bring our war memorials back into the heart of the community.  

"Lee Rigby's name would then be on a memorial with the many others soldiers who have served our country.    

"It is important that we never forget  Lee and all the others who have made the ultimate sacrifice for this country."