As a 15-year-old, Price played in the 1938 Girls Amateur Championship at Stoke Poges, winning her opening match before losing in the second round.

[5] Price reached the semi-finals of the 1950 Ladies' British Open Amateur Championship, losing 5&3 to Jessie Valentine, a performance which saw her selected for the Curtis Cup team at the Country Club of Buffalo in September.

[12] The British team took a 2–1 lead on the first day, Price winning her foursomes match, playing with Jean Donald.

Playing in the final singles match, Price beat Grace DeMoss 3&2 to win the cup.

[15] Price reached the quarter-finals of the 1953 Ladies' British Open Amateur Championship, losing to the eventual winner, Marlene Stewart.

[20][21] In June, Price was selected for the 1954 Curtis Cup team at Merion Golf Club in September.

Price won her foursomes match, playing with Frances Smith, and beat Jane Nelson 7&6 in the singles.

[30] In 1957 she reached the semi-finals of the Ladies' British Open Amateur Championship at Gleneagles before losing 3&1 to Jessie Valentine.

[33] She reached the final of the Ladies' British Open Amateur Championship at Hunstanton, losing again to Jessie Valentine, by one hole.

[36][37] If 1959 Price won the Ladies' British Open Amateur Championship at The Berkshire, beating Belle McCorkindale in the final.

[40] Earlier in the year she had played for Great Britain in the first edition of the Commonwealth Trophy at St Andrews.