Sunday's fixture at St Helens Stadium seemed destined to end in stalemate, with the Reds having hit the woodwork three times.
But substitute Enderby delivered a quickfire double in the final minute of the game to provide her side with a first league victory of the 2025-26 season.
Liverpool were moving the ball sharply from the off and carved out several chances inside the opening 10 minutes.
Indeed, Gareth Taylor's team hit the crossbar with only two on the clock.
Aurélie Csillag chased down a flick-on and from her attack towards the box, the ball rolled out to Alice Bergstrom, whose curling effort bounced off the goalframe.
New arrival Csillag was a magnet for the action in the early phases and she glanced a header too close to the goalkeeper from a Lily Woodham cross.
The forward then teed up Ceri Holland to the left of goal for a strike that the Wales international could only slice wide.
Csillag will feel she should have scored on 17 minutes.
Cornelia Kapocs escaped into space in the centre of Tottenham territory and fed her teammate inside the box, but the finish was saved by Lize Kop.
Liverpool's ascendancy gradually gave way to a more even pattern of play, and Spurs opened up a chance five minutes before the break.
Olivia Holdt was able to line up a strike from the edge of the area that she dragged off target to the left.
There was much greater impetus about Spurs when play resumed for the second half.
And the Reds needed a tremendous save from goalkeeper Jennifer Falk to prevent them from breaking the deadlock.
A slick counter-attack saw Holdt slide Signe Gaupset into a clear one-on-one - but Falk leapt from her line to smother the final shot.
Bergstrom swirled an effort too high in response from the Reds, having been set up by good work from Csillag and Kapocs.
The hosts worked a fine opportunity on 65 minutes, Holland racing to the byline and squaring the ball into the centre, where Kapocs sent a side-footer off target.
From almost a replica routine two minutes later - Holland cutback to Kapocs - the latter's finish was this time deflected wide.
As Liverpool pushed ever more strongly, Kop blocked Kapocs from close range when Grace Fisk headed down a corner kick.
The stalemate continued, though, with the visitors' nearest riposte a headed attempt from Bethany England that drifted away from goal.
The Reds looked the team likely to score if a winner was going to materialise, and they were denied by the woodwork twice in added time.
From Holland's driving run in the left channel and lofted cross, Bergstrom arrived at the back stick but sent the ball against the post.
Holland then hit the same part of the frame from a free-kick strike - but late, decisive drama was still to come.
In the fourth minute of stoppage time, Enderby improvised superbly to hook Jenna Clark's cross over the goalkeeper and in from close range.
And immediately from the kick-off, she capitalised on a Tottenham slip to run clean through and supply a clinical second strike.
Team
Liverpool: Falk, Shimizu, Fisk, Clark, Woodham (Bernabe, 65), Nagano, O'Sullivan, Kapocs, Bergstrom, Csillag (Enderby, 81), Holland.
Unused subs: Kirby, Parry, Evans, Lundgaard, Maclean, Bonner, Trueman.
Next up
The Reds visit Manchester United in the WSL next Sunday (February 1), with kick-off at Leigh Sports Village 11.55am GMT.
Book tickets and free coach travel here.