The SPFL Premiership newcomers bounced back from their Aberdeen humbling a week ago with a much-improved showing against Kilmarnock but couldn't claim a deserved victory.
Alan Archibald's side have yet to win a top flight fixture at Firhill this season, with Saturday's 1-1 draw the third time they have been held after a goalless encounter with Dundee United and stalemate against Hearts.
Despite Aaron Muirhead firing the hosts ahead from the spot after 11 minutes, a Kris Boyd header just after the break clinched a point for Allan Johnston's side as Thistle once again passed up a host of chances to put the game to bed.
Archibald's side have won rave reviews for their free-flowing attacking play so far this season and strike star Doolan is confident their hard work will soon pay dividends in the final third as the Jags bid to hit the goal trail.
He said: "We feel as if we could have done a bit better.
"I think that shows how far we have come that we are playing the likes of Kilmarnock and we feel as though we should have come away with the three points. We are definitely holding our own.
"We had some good chances. In the first half, I thought we came out the traps like we usually do with a lot of pace and a lot of energy and put Kilmarnock on the back foot a bit.
"It look us a bit to get going in the second half and they scored. That made it a bit more difficult for us.
"There is not going to be chance after chance. But, once it clicks, the floodgates will open. Once we have got the final pass sussed, they will just start flying in the net.
"We are not worried about it. You are better being in positions and it not coming off for one reason or another. We are certainly getting into the positions and if we continue to get in there the ball will start going in the net."
Doolan was given the nod to lead the Thistle forward line by boss Archibald as he took his place in the starting line-up ahead of John Baird.
The 26-year-old turned in an impressive performance at the focal point of the Jags attack but couldn't bag his second goal of the Premiership campaign, with Killie new boy Ismael Bouzid denying him at the death as Thistle went in search of a winner.
Doolan said: "I pulled it out the sky and turned the boy Rory McKeown and it all opened up. I could see the area of the goal that I was going to put it in.
"The boy Bouzid has made a great block and put it up over the bar. It was a great block to be fair, I couldn't have hit it any better."