The visitors, who moved to the top of the table with the win, took the lead after five minutes.
A cross was only half cleared and picked up by Scarlett Smith and she battled through a couple of defenders and fired a right foot shot which although Beth Fisher managed to push onto the bar, went in for the opener.
Morecambe probed but were struggling, Megan Doherty’s speculative efforts comfortably dealt with by Jennifer Doherty.
It was two for Chorley on 22 minutes, a counter attack had Sam Cadwallader racing onto a long ball and a fine lob over the advancing keeper extended the visitors’ lead.
Katherine Bonner then saw a goal chalked off by the linesman’s offside flag for Chorley but the visitors soon made it three five minutes before the break.
Scarlett Smith’s initial shot was saved by Fisher but Vicky Coope fired home the rebound from a tight angle.
Morecambe looked the more dangerous in the second half with Millie Brown, Sian McGuire and Doherty going close but Chorley were content to sit in and show the Shrimps Ladies how tough life might be at their highest ever level.