Venema-Brouwer started with competitive speed skating in the winter of 1898–1899, after her marriage to Taeke Venema, also a skipper's child.

Later Venema-Brouwer competed in competitions with the highest prize money, against the strongest speed skaters.

Venema-Brouwe competed during 10 winters with Douwe van de Meer from Eernewoude.

In 1903 Venema-Brouwe won during one week on six consecutive days six first prizes (Grouw, Leeuwarden, Koudum, Akkrum, Roordahuizum).

In the last years of her career, Venema-Brouwer's daughter Aaltje also started competing in speed skating.