With three straight away wins to their credit, Lincoln confidently chalked up a fourth without too many alarms - although they had to survive a late first-half scare when Shrewsbury's Ben Davies crashed a penalty kick against the crossbar.
After an enterprising first-half showing the Gay Meadow outfit ran out of ideas after the break and rarely looked capable of finding a leveller.
Despite the promptings of Davies and the pace of former Lincoln man Derek Asamoah the Sincil Bank side never looked flustered as they firmly established their place among League Two's front-runners.
Asamoah and Davies were to the fore as Shrewsbury made the early running and Lincoln keeper Alan Marriott had to go full stretch to grab a Stewart Drummond snapshot.
But as the half unfolded Lincoln began to create some opportunities of their own and shortly after ex-Shrews striker Mark Stallard had flashed a header wide, the visitors went ahead on 29 minutes, scoring from their first significant attack.
Neat work from the impressive Jamie Forrester created the opening for Frecklington, who advanced to drive the ball low past Ryan Esson from ten yards.
A minute before the break Town were thrown a lifeline when Davies went crashing in the box under a challenge from Marriott, but from the resulting spot-kick, Davies saw his effort hit the bar.
After the break Drummond and debutant striker Andy Cooke were unable to hit the target when well placed, but it needed a timely interception from Paul Mayo to thwart a dangerous Asamoah cross after a menacing run into the Lincoln box.
With a quarter of an hour remaining Stallard missed the opportunity to net against his former team-mates when he headed over unmarked, but the outcome had already been assured.