Fans turned up in numbers for the team's Family Fun Day to mark their first match in the FA Women's Premier League South at their new home of Ware FC.
Charlton took the lead through Stef Simmons on 67 minutes but Spurs hit back. Wendy Martin levelled the scores and it looked like Rosie Kmita had secured maximum points when she slotted home for 2-1 with only three minutes left.
But with seconds remaining, Charlton substitute Emma Harrison was sent through on goal and she made no mistake for 2-2.
Manager, Karen Hills, takes up the story. "The game started at a frantic pace with Charlton settling the quickest.
"They created a couple of half-chances and that seemed to unsettle the back four, but we slowly started to gain momentum.
"Rosie worked hard down the left and delivered some fantastic crosses and Andra had a couple of decent efforts at goal.
"Both teams were determined to get the three points and against the run of play, Charlton broke the deadlock in the second half when Stef Simmons hit a cross-shot that crept in.
"We continued to press and were rewarded when Jo Woodgate fired in a free-kick that the goalkeeper tipped onto the crossbar and Wendy Martin reacted first to head home.
"We went ahead with three minutes left when Rosie broke through, skipped around the goalkeeper and slotted home.
"Unfortunately, that wasn't the end of the scoring and Charlton equalised from a ball over the top with the last kick of the game.
"Overall, we were disappointed not to take the three points, especially after coming back and going ahead with three minutes left.
"Having said that, I would probably have taken a draw before kick-off, but I thought we played well enough on the day to deserve the win.
"Charlton have come down from the National Division and it was always going to be a tough game, but the girls did themselves proud."
Spurs Ladies: Ayre, O'Halloran (Smith, 60), Woodgate, Lane, Crafton, Maloney, Schillaci, Marcoci, R Kmita (Downie, 89), Martin, Baptiste (M Kmita, 81). Unused sub: McEvoy.