I'm a bit older than you but all 3 of those names were popular with my age group. Also popular were Cla(i)re, Sally, Helen, Heather, Jane, Samantha, Alison, Karen, Catherine, Rachel, Ruth, Michelle, Susan, Suzanne, Nicola, Emma, Julie, Joanne, Lisa, Justine, Deborah/Debbie, Amanda/Mandy.
More popular than they are now but not super popular: Ann(e), Esther, Gillian, Linda, Angela, Valerie (I think all of those had already had their moment but hadn't quite gone out of fashion).