"We would like to thank everyone, especially the people of Liverpool. The tributes and condolences have really helped us through these difficult times," Black's family said in a statement.
Tributes to Black have been pouring in since her death was announced. Sir Cliff Richard, Sir Paul McCartney and Christopher Biggins, all close friends of Black, hailed her energy and spirit.
Former Beatle Paul McCartney said news of Black's death came as a shock. "She had a fine distinctive voice and was always a bit of a laugh. It was a privilege to know and love her," McCartney said in a statement.