Highfield skipper Heather O'Brien has made the Ireland number 8 jersey her own this season, but the cup holders will be gunning to defend their title when they travel to play St. Mary's at Templeville Road.
Former winners UL Bohemians have struggled to come to terms with losing some key players this season and finished fourth in the league. They are at home to relative newcomers Railway Union.
League table toppers Old Belvedere must be one of the favourites this year as they travel to Portlaoise.
Women's All-Ireland Cup Quarter-Finals:
Blackrock v Galwegians
UL Bohemians v Railway Union
Portlaoise v Old Belvedere
Queen's v Edenderry
Fermoy v Carlow
Enniskillen v Cooke