Drake-Brockman, a right-handed player out of Bunbury, Western Australia, attended St Hilda's Anglican School in Perth and was a member of the Australian team which won the World Youth Cup in 1993.

[2] She made her WTA Tour main draw debut in one of the opening tournaments of the 1995 season, the Tasmanian International, held in Hobart.

At the 1995 Australian Open she was granted a wildcard into the women's singles and made the second round, with a win over Japanese qualifier Naoko Kijimuta.

[3] She then won the Australian Open girls' singles title, by beating World Youth Cup teammate Annabel Ellwood in the final.

She had her best season in 1997 when her ranking rose to a career high 109 in the world, with appearances in the main draws of WTA Tour tournaments in Hobart, Birmingham, Stanford, San Diego and Surabaya.