Playing downhill, Lane gradually began to dominate territorially.
Strong runs from Lane's Frankie Gonzales-Wilkes and Craig Harrison paved the way for Jason Tate to score the opening try.
Lane kept their concentration for the next 15 minutes to weather strong Westgate pressure but the Wakefield side eventually levelled.
Lane regained the lead when good work from the forwards set up the position for great handling by Ben Johnston and Dom Foy to send Michael McCartney bursting through for a try that James Woods converted.
Dale Boyle then evaded four tacklers in a surging run before Johnston's clever kick was picked up by McCartney who did well to grab his second try that Woods again improved to make it 16-4 at half-time.
Lane survived Westgate pressure early in the second-half.
Foy ran half the length of the pitch before being tackled and Westgate had a player sin-binned for holding him down.
Lane almost scored when good work by Adam Brown and Dan Monahan saw Josh Leary tackled just short.
Lane defended bravely before they put the game beyond Westgate's reach with a superb long-range try try from Dave Farr from a move that started deep in the Castleford side's own half.
Foy and Johnston combined well at half back, with Foy's field kicks gaining excellent territory.
McCartney, Josh Bywater, Adam Brown, Gonzales-Wilkes and James Woods took Lane forward, with Jason Tate, Scott Allinson, Leary and Farr providing good support.
Monahan, Joel Brown, Boyle, Harrison, Adam Brown, Woods and Bywater shone in defence.
Both sides kept their discipline in a hard but clean game.
Lane wish a speedy recovery to Joel Bonner who is recovering from an elbow operation after being injured the previous week.