A 30th minute goal direct from a corner kick by Amy Fleming set Gemma Donnelly's side on their way, her first goal since joining the club last September.
The lead only lasted five minutes however as Rovers were slow to close the Foxes down and a shot from outside the box deflected home.
Rovers responded and Just past the hour mark they were back in front. A long ball forward saw Nicky Emery go up to bravely challenge the Leicester goalkeeper and she got her head to the ball first to score into the empty net.
After that Rovers could and should have scored more as the Leicester goal lived a charmed life. Nick Forster rattling the woodwork with one effort as they looked for further goals.
A third did arrive on 75 minutes as Forster eventually got on the scoresheet. Racing through, she rounded the goalkeeper to cooly slot home.
Forster fired into the side-netting when through on goal once more moments later, before the Ladies striker was denied a cast iron penalty after being upended in the box.
But it couldn't take the shine off an impressive first outing of the summer.
"It was a delight to see the girls back in action," said Donnelly. "We had a number of trialists playing for the team,.
"We looked athletic and strong and more than capable in more areas of the park.
"The girls returning from last season looked fit and enthused for the start of the season. We hope to announce our full squad in due course."
Rovers Ladies are back in action this Tuesday night at Darwen Academy when they take on Liverpool Feds - kick-off 8.00pm.