Stranded Heart was created by artist Diane Maclean, who agreed to sell the sculpture at cost.
It is hoped the sculpture will eventually go on display at the completed centre.
It is hoped the sculpture will attract thousands of visitors a year to south east Northumberland.
The sculpture was donated to the town by shipping magnate John Carlborn in 1918.
It is the second time the sculpture has been badly damaged in recent years.
The Queen unveiled the sculpture as her final duty before leaving Holyrood on Saturday.
Boyle said the sculpture "defies all prejudice in people's minds about one of London's poorest boroughs".
Was the sculpture, as some scholars suggest, commissioned by a wealthy family as an offering?
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The site which has been earmarked for the sculpture is on a hill in Kimberworth.
The maquette for the sculpture is on display at the Royal Academy in London.
Prior to the Paris exhibition, he had kept the sculpture in his own collection for several years.
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In fact, the sculpture may have been made for sale to foreigners rather than for religious use.
Thai firm SSI, which bought the plant after it was mothballed, commissioned the sculpture in his honour.
Conservation will then be ongoing, with regular rewaxing in an effort to maintain the sculpture's improved appearance.
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Graffiti and pitting caused by corrosion will removed by very carefully rubbing the sculpture, again by hand.
BBC: Henry Moore's House of Lords artwork restoration begins
He also lavished them with catalog descriptions fit for MoMA, comparing one upright piece to the sculpture of Barbara Hepworth.
Surprisingly few visitors to the Mall discover the peace of the sculpture garden outside of the Hirshhorn Museum.
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The sculpture is Ziolkowski's conception, based on what the Indian chiefs told him.
Dietrich said prospective buyers could purchase the sculpture through Bonhams, which will negotiate a price on the seller's behalf.
Carved into the sculpture are the names of 76 men and one woman.
Corrosion and oxidation will be cleaned, taking the sculpture back to bare metal.
BBC: Henry Moore's House of Lords artwork restoration begins
After it was removed unsold from the London exhibition, he dismantled the sculpture.
She told me she was impressed by the anatomical accuracy and portrayal of the human body found in the sculpture.
"We're a little disappointed with what happened with the sculpture, " Bonhams Maritime Art Department sales specialist Gregg K. Dietrich said.
The sculpture's owner, military historian and collector Rodney Hilton Brown, did not wish to discuss the results of the auction.
The sculpture needed to appeal to a broad audience and conjure up the fond memories of so many different people.
If a decision is made to sell the sculpture, it will be offered for auction at Christie's in February 2013.
History buffs have fawned over the sculpture, a miniature of the familiar 32-foot-tall bronze Marine Corps War Memorial in Arlington, Va.
Restoration had originally been intended to begin on the sculpture in early 2012, to be completed in time for the Olympics.
BBC: Henry Moore's House of Lords artwork restoration begins
Workers began to remove the sculpture overnight on Tuesday ready to clear the space early on Wednesday, Corriere del Veneto newspaper reported.
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