The draw was only good enough for the Welsh side to drop down into 17th, five points clear of the bottom three.
Who will come out on top in the battle of the managers Carlos Carvalhal or Sam Allardyce?
Abraham lashed over as Everton's set-piece defending once again malfunctioned, while the pantomime jeers that greeted a late Wayne Rooney free-kick did much to summarise the efforts of Allardyce's side and his former England captain.
From the resulting delivery, Federico Fernandez's header was kept off the line by Cenk Tosun before Carroll fired over from an acute angle.
Everton finally enjoyed some decent possession before the interval and made it count after Michael Keane had headed wide at the far post.
Seamus Coleman raided forward and Yannick Bolasie's half-volley from the right-back's cross drew a brilliant save from Lukasz Fabianski.
Unfortunately for him, the second bounced off the head of Naughton and back towards the goal and though Alfie Mawson cleared the ball it was deemed to have crossed the line.
Then, out of the blue, Everton took the lead in the 42nd minute.
Tosun's quick free kick sent Theo Walcott scampering clear but Fabianski left his penalty area quickly to block.
Pickford showed assured handling to deny Tom Carroll from a long throw early in the second period and the England global did well to parry behind from Andre Ayew at close quarters in the 51st minute.
Everton were nearly back in front four minutes later when the stretching Coleman directed Tosun's cross against the bar from just five yards out.