Lady (Susan) Renouf was farewelled as she lived: with grace and dignity.

Hundreds of mourners attended St Andrew's Anglican Church in Brighton, Melbourne, on Wednesday under clear winter skies to celebrate the life of one of Australia's most glamorous women and socialites, who died last Friday, her 74th birthday.

A line-up of political, entertainment and media personalities attended the relatively low-key service to honour Lady Renouf, who was known for her much publicised three marriages, most notably to former Liberal opposition leader Andrew Peacock.

As well as Mr Peacock and her former son-in-law, Michael Kroger, other Liberal identities at the funeral included Energy and Environment Minister Josh Frydenberg, Melbourne lord mayor Robert Doyle and businessman Ron Walker. Independent senator-elect Derryn Hinch was also among the mourners.

The arts and entertainment community was represented by Bert and Patti Newton and singer Anthony Callea. Other notable attendees included philanthropist Jeanne Pratt and her daughter Heloise Waislitz, and socialite hairdresser Lillian Frank.

Lady Renouf's daughter, Ann Peacock, said their relationship was often a loving "battle" between mother and daughter of "who could win and who could get their way".

"There are so many stories and I know they will be told and treasured in our family for generations.

"Today we stand together in strength to honour a life of one beautiful mother, grandmother and friend who we loved so very very much."

The eulogy was delivered by Graeme Aarons, Lady Renouf's longtime solicitor and friend, who described "Susie" as a woman of "great warmth".

"Susie really loved life and those around her helped her to live a really vibrant life."

He recalled how she had lived a very public life, often receiving a "buffeting" from the press.

But there was another side to her, a courageous and determined person who "would stand up and be prepared to fight for what she thought was right and proper".

Lady Renouf's grandson opened the service by playing Elton John's Your Song on piano, while her other grandsons acted as pallbearers.

After her divorce from Mr Peacock, Lady Renouf married English racehorse owner Robert Sangster in 1978. She married New Zealand financier Sir Frank Renouf in 1985.

Ms Peacock said that following her mother's ovarian cancer diagnosis in 2013, she and her sisters, Caroline and Jane, "protected her as much as we could through her battle".

"In the end it was her own bravery and strength that carried her on her ultimate journey with grace and dignity," she said.

Before her death, Lady Renouf made a substantial contribution towards a grant for palliative care research. Ms Peacock also thanked the medical and nursing staff at Cabrini Hospital.

"Hers was a horrible death but she fought so very, very hard," Ms Peacock said, fighting back tears.

She asked those present to instead remember her mother for "the incredible years that went before", for her zest for life, her caring, her generosity and her thoughtfulness.

"And please, always remember the way she laughed."

And with those words, Lady Renouf bade farewell to her loved ones in a coffin adorned with a dazzling array of flowers, an arrangement befitting a woman who lived such a colourful life.

Lady Renouf was later cremated at a private service.