Rosie Livingstone scored a stunning goal on her return to competitive action after six months on the sidelines.
It took 40 minutes for Kathleen McGovern to fire Hearts in front at Meadowbank.
Montrose responded almost immediately in the second half when Tally Robb found the back of the net.
But Demi Taylor was sent off for the visitors and gave away a penalty which Eilidh Adams fired into the bottom corner to give the leads back to Hibs.
Spectacular late goals from Rosie Livingstone, Lauren Doran-Barr and a Holly Daniel own goal made it a comfortable afternoon for the Edinburgh outfit.
