Gareth Taylor’s team were twice inches away from doubling their lead before the interval.
A Nagano blast from distance was tipped against the crossbar by Chiamaka Nnadozie, and Kerr was denied by the same piece of goalframe when she swirled in a great strike from similar range.
Straight from the restart, Jenna Clark defended diligently to snuff out Camacho after she had been teed up in a shooting position by Seike’s diagonal.
At the other end, meanwhile, Olsson sought a second of the afternoon having found a pocket of space to the right. Her attempt was deflected behind by Moeka Minami, however.
Brighton’s pressure increased as the half wore on and Kirby added another vital save to her catalogue to keep them out on 68 minutes.
A tricky cross to the near post from the right was taken in by Madison Haley and she struck on the turn – but it was blocked reactively.
Next, Risa Shimizu produced a goal-saving clearance off the line, thwarting the Seagulls’ Kirby, whose shot from the centre was destined for the net.
Liverpool seemed to have weathered the ascendant spell of the away side and might have completely put the game to bed late on.
A slick passage saw substitutes Kirsty Maclean and Leanne Kiernan combine to free the latter, though her final shot was sliced wide.
Three minutes into five added at the end, though, Brighton snatched a draw. Nadine Noordam crossed for Kafaji to direct a low equaliser home.
Team
Kirby, Shimizu, Clark, Fisk, Woodham, Nagano, Kerr, Holland (Maclean, 79), Kapocs, Olsson (Kiernan, 78), Enderby.
Unused subs: Laws, Borggrafe, Evans, Szymczak, Lundgaard, Silcock.
Next up
Liverpool are back at St Helens Stadium in the WSL next Sunday (November 16), hosting Chelsea.
Kick-off is again 12pm GMT. Ticket and free coach travel details can be found here.
