Dean Bunting’s success either side of the interval secured Hanover full points.
Bunting grabbed a brace with two strikes of similar style, with the Hanover playmaker ghosting in on two occasions to evade the Broomhedge backline.
That double enhanced a lead provided by Stephen Woods’ penalty.
“The lads trained hard over the break, including coming in on New Year’s Day,” said Hanover’s Dean Crowe. “We were comfortable overall.”