Club record signing Ben Wilson had Saints’ best opportunity in the second half at Park Hall.
The former Airdrie striker was through on goal but he was denied by keeper Baboucarr Gaye.
“We were a shade disappointed that we couldn’t have gone in the lead,” Harrison said.
“I think we deserved on chances alone – better chances – to take the lead.
“But it was a very close game, there was nothing in it from possession-wise and territory.”
Saints will have to wait to discover the extent of midfielder Leo Smith’s knee injury.
Smith was stretchered off the field after sustaining the injury during first half stoppage time.
“Seeing any player coming off the pitch on a stretcher is never a good sight to see,” Harrison said.
“It’s obviously a serious injury because Leo wouldn’t just come off and then go out on a stretcher.
“He wouldn’t just come off if he was OK. Let’s hope he has a speedy recovery.
“The next 24-48 hours we’ll get a true assessment of how he is and where we’re at and then we’ll go from there with Leo.”
