The Premier County defeated Derry 3-19 to 1-6 to record their first victory in Group 2 of the competition.
Orla O'Dwyer top-scored for Brian Boyle's side – she registered 1-6.
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Jenny Grace and Miriam Campion got Tipp's other goals.
Tipperary's next match is against Kilkenny in seven days' time.
Meanwhile, the county's Intermediate side beat Wexford 3-13 to 1-13 in Group 1 of the All-Ireland Championship.
The game was played at The Ragg.
