Rob Page made two changes for the contest, with Prince Cisse handed an U21s debut, while Joe Bradshaw was also selected.
Morrison struck the first and final goals for the Reds - his 13th and 14th efforts of the league campaign - while Cisse and Will Wright were also on target at the Kirkby Academy.
The visitors started on the front foot with Reiss-Alexander Russell-Denny proving a threat on the right flank.
It was the winger who played a key role in opening the scoring for Spurs as his low ball across the box caused panic.
The ball eventually fell to Cisse, though his clearance was blocked by James Wilson, leaving the ball to ricochet into the back of the net to open the scoring.
Spurs were enjoying a spell of domination with goalkeeper Armin Pecsi called into action to push away another dangerous delivery from Russell-Denny.
However, Liverpool responded, first seeing Trey Nyoni volley wide, before Morrison levelled the contest with a fine strike.
The attacker saw the Reds turn the ball over in the Spurs half and gathered to cut into the box on his left and fire a dipping shot into the net.
The conditions on Merseyside were proving tricky with the wind playing a factor in much of the play.
Ahead of the half-time break, both Kyle Kelly and Tommy Pilling saw volleys threaten, though neither were able to add to the scoreline.
The game continued in battling fashion and it was the Reds who again went close after the interval.
Bradshaw worked an opening brilliantly on the left, beating his man to stand a cross up to the back post.
Nyoni broke free from his marker and jumped highest, though his glancing header fell inches past the post.
Moments later, however, Liverpool were in front thanks to a header from Cisse.
The Reds recycled a free-kick and Calvin Ramsay's delivery found the defender free, who planted a header onto the inside of the post before crossing the line.
The advantage lasted just four minutes, though, as Spurs hit back via a swift break forward from Russell-Denny.
The attacker sprinted through to finish well past the onrushing Pecsi after Dante Cassanova's ball opened up the home defence.
After the flurry of activity in the final third, both teams began to cancel each other out in the search for a winner.
Wright saw an opportunity inside the final 10 minutes fall just behind his reach inside the six-yard box, with the striker unable to convert a low cross from Morrison, who drove to the right byline to deliver.
He wasn't to be denied four minutes from time, though, as he scored a fine individual goal to put Liverpool back in front.
Goalkeeper Pecsi cleared the ball up field, allowing Wright to gather, turn one way and then another, before driving a low shot into the bottom corner of the net.
There was still room for Morrison to net again in added time, with Liverpool working the ball across the pitch to stretch the visitors.
Wright found the run of Morrison with a well-placed pass, allowing him to quickly gather and drive low into the bottom corner and seal the points in emphatic fashion.
Team
Liverpool: Pecsi, Ramsay, Cisse (Pitt, 68), Pinnington, Ewing, Kelly, Morrison, Nyoni (Laffey, 61), W. Wright, Pilling, Bradshaw (Onanuga, 79).
Unused subs: Poytress, Miles.
Next up
Liverpool return to Premier League 2 action against Wolverhampton Wanderers on Sunday March 8.
The Reds will again be in action at the Kirkby Academy in a 2pm GMT kick-off, with supporters able to watch live on All Red Video.
