Faye Barker is joined in the studio by Caroline Berger, who is looking for a blood donor to help her mother and Ann O'Leary, from the blood cancer charity Anthony Nolan.
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A spokeswoman said she was not able to comment on the asking price for the venue, which is the third oldest London theatre still in use.
The pups were covered in fleas, dirty and smelled strongly of faeces.
A 1.5-times life-size bronze statue of Margaret Thatcher had been proposed for the site.