Zara Phillips reaches for an Olympic ring

BOEKELO, NETHERLANDS - OCTOBER 06: Zara Phillips warms-up on her horse 'Lord Lauries' prior to competing in the dressage phase of the competition on day 1 of the Military Boekelo-Enschede 2011 on October 6, 2011 in Boekelo, Netherlands. (Photo by Jasper Juinen/Getty Images)
Jasper Juinen
Zara Phillips warms up on her horse prior to competing in the dressage phase of competition on Day 1 of the Military Boekelo-Enschede 2011 on Oct. 6, 2011, in Boekelo, Netherlands.

(CBS News) Queen Elizabeth II will open this summer's Olympic Games and Prince William, Prince Harry and Kate have been named Olympic ambassadors - but the Olympics will truly be a royal affair if one of the monarch's grandchildren secures a spot on Britain's team.

Zara Phillips, the queen's eldest granddaughter, is a competitive equestrian who hopes to compete at the London 2012 games later this year.

Pictures: Zara Phillips
Pictures: Her royal wedding

Phillips, who married rugby player Mike Tindall in Scotland last summer, boosted her chances for Olympic qualification when she scored an eventing victory Thursday, according to British reports.

The 30-year-old won the open intermediate section D class at Tweseldown Horse Trials near Aldershot, England. The BBC reports that she earned a dressage score of 30, clear rounds in showjumping and cross-country and a 7.2 in cross-country time faults.

William Fox-Pitt, Mary King, Piggy French and Nicola Wilson are expected to take four of the spots on Britain's Olympic equestrian team, according to the BBC. Phillips is expected to face competition for the fifth slot from Tina Cook, Pippa Funnell and Oliver Townend.

If Phillips makes the Olympic team, she'll be following in her parents' equestrian footsteps - her mother, Princess Anne, competed at the 1976 Olympic Games in Montreal, while her father, Captain Mark Phillips, won gold as part of the British three-day event team at the 1972 games in Munich.

The equestrian events will be held at London's Greenwich Park. The Olympic Games run from July 27-Aug. 12.