The hosts went ahead in the contest when Ana Beja broke the deadlock four minutes from half-time at Campo Caridade Stadium.
The visitors, however, did not allow Ouriense s celebration to last for too long as the Ghana international levelled matters in the 44th minute.
Mauro Pulquerio s team made the better start to the second half as Fernanda Peinado fired them in front eight minutes after the restart.
But Joao Filipe Ferreira Goncalves s side left it late to avoid their fourth defeat in a row as Juliana Domingues struck just before the final whistle.
Despite the draw, A-dos-Francos are bottom with five points from six matches, while Ouriense are fourth with 14 from seven games.
Ghana s Anokye scores first goal of the season as A-dos-Francos hold Ouriense goal.com - get the latest breaking news, showbiz & celebrity photos, sport news & rumours, viral videos and top stories from goal.com Daily Mail and Mail on Sunday newspapers.