Centre half Dean Inman headed an 86th minute corner past debutant keeper Teddy Sharman-Lowe in what was Hawks’ first National League South outing for three weeks.
That cancelled out James Roberts’ 66th minute free-kick, his 12th goal of the league campaign.
And with Ebbsfleet coming from behind to beat Concord 4-1, third-placed Hawks are now 10 points adrift of table-topping Fleet - albeit with two games in hand.
‘When you score late on (to draw) you feel like you’ve won, when you concede you feel like you’ve lost,’ said Hawks player coach Jamie Collins.
‘It’s a disappointed dressing room. It feels like we’ve lost, but it’s a point gained and we go again.’
Two other players were handed NLS Hawks debuts as second-half subs, winger Sam Matthews and midfielder Tyrell Miller-Rodney.
And centre half Joash Nembhard was back in the starting XI for the first time since suffering a broken bone in his foot in mid-October.
Hawks now travel to Taunton Town on Tuesday with the Somerset club fresh from their first home league defeat of the season, losing 1-0 to St Albans.
9. Jason Prior heads straight at Beavers keeper Alan Julian
Jason Prior heads straight at Beavers keeper Alan Julian. Picture by Dave Haines Photo: -
10. Mo Faal takes on Beavers' Luis Fernandez
Mo Faal takes on Beavers' Luis Fernandez. Picture by Dave Haines Photo: -
11. Teddy Sharman-Lowe made his Hawks debut on loan from Chelsea
Teddy Sharman-Lowe made his Hawks debut on loan from Chelsea. Picture by Dave Haines Photo: -
12. Alfy Whittingham, who was on loan at Hawks last season, with Paul Rooney
Alfy Whittingham, who was on loan at Hawks last season, with Paul Rooney. Picture by Dave Haines Photo: -