Heeb first drew attention to himself when she finished tenth in the super -G at the Junior World Championship in 1991. On December 15, 1991, she played her first World Cup race, the super -G in Santa Caterina, but could not classify as 50th in the points. She took part in her first 1992 Olympic Winter Games in Albertville and was 20th in the combination. In 1993, she was at the World Championships in Morioka at the start and in the following year. During the 1994 Winter Olympics in Lillehammer There she was ranked eleven in the giant slalom.
The first World Cup points, followed on November 26, 1994 with a superb fourth place in the giant slalom at Park City. This result could be repeated shortly thereafter in Vail. In this 1994/95 season they finished second in the giant slalom discipline rating tenth. After that she could occasionally reach top ranks in the giant slalom at the World Cup. At the World Championships in 1996 in the Sierra Nevada, it was in the giant slalom and seventh at the 1998 Winter Olympics in Nagano ninth.
On 19 November 1998, the first podium finish followed in the giant slalom World Cup in Park City for third place. These other top - ten finishes at the end of the 1998/99 season came in sixth in the giant slalom World Cup. In the 1999 World Cup in Vail, it was after a serious error in the second round Twelfth in their specialized discipline. In the following season 1999/2000 she reached the giant slalom in Cortina d' Ampezzo place behind Anna Ottosson and was able to twice as third on the podium drive ( 1999 Lienz and Bormio 2000). In the giant slalom discipline rating she finished seventh. At the 2001 World Championships in St. Anton, it was surprising after rather weak season performances fifth in the giant slalom.
The first and only World Cup victory came in their last season 2002/ 03 on 21 November 2002 in the giant slalom at Park City. She won the race ahead of Alexandra and Janica Kostelic Meissnitzer. In the 2003 World Cup in St. Moritz, she was tenth in the giant slalom. In March 2003, she announced her retirement from ski racing.
Heeb is married to the journalist and politician Alexander Batliner since the fall of 2001 and has two children, a son and a daughter.
- 1992 Albertville: 20 combination, 30 Super -G
- Lillehammer 1994: 11 Giant Slalom
- Nagano 1998: 9 Giant Slalom
- Morioka 1993: 32 Super -G
- Sierra Nevada 1996: 7 Giant Slalom
- Sestriere 1997: 23 Super -G
- Vail 1999: 12 Giant Slalom
- St. Anton 2001: 5 Giant Slalom
- St. Moritz 2003: 10 Giant Slalom
Junior World Championships
- Geilo / Hemsedal 1991: 10 Super -G, 16 combined, 24 giant slalom, downhill 33rd, 37th slalom
- 1995/1996 season: 10 Giant Slalom World Cup
- 1999/2000 season: 6 giant slalom World Cup
- Season 2000/2001: 7 giant slalom World Cup
- 5 podiums and 1 win:
Heeb was awarded eight times as Liechtenstein Sportswoman of the Year (1994, 1995 and 1997 to 2002).