Amy Sweeney hit 1-4 and her goal a minute into the game gave Boru's the platform they needed for victory.
The Clogheen side led 1-8 to 0-3 at the break and in the second half they soaked up constant Cappawhite pressure.
Despite having two players sent off in the 2nd half they held on for victory after a half that ran to 41 minutes on the clock.
After the game their manager Liam Fleming told Tipp FM Sport he was relieved that they held on for victory.