Mayall, who revolutionised television sitcoms with "The Young Ones" in the 1980s, died on Monday.
She added: "I ... and the many in our extended family who have received the thousands and thousands of messages of condolence from all over the UK and beyond these shores would like to say thank-you to each and every one of you for your heartfelt love and support."
Earlier a spokeswoman at West London Coroner's court said a post-mortem examination had been inconclusive and that further tests were being carried out.
Famed for his often manically violent style, Mayall co-wrote and starred in the "The Young Ones", played the corrupt but suave politician Alan B'Stard in "The New Statesman" and made notable appearances alongside Rowan Atkinson in "Blackadder".
Mayall had a serious quad bike accident in 1998 which left him in a coma for five days. He later developed epilepsy.