Defending champions Errigal Ciaran squeezed through their WJ Dolan Tyrone SFC preliminary round clash with Clan na nGael by 0-8 to 0-6 at Carrickmore.
Saturday's turgid encounter was finally settled by late substitute Peter Canavan, who hit the clinching point in stoppage time.
Killyclogher scored a 1-11 to 0-10 win over Derrylaughan at the same venue.
Leo Meenan, with 1-3, and Ciaran Carland, with four points, got the vital scores for Killyclogher.
Brendan Quinn scored five points for the newly promoted Barrys.
Coalisland coasted to a 2-19 to 1-8 win over Omagh at Augher on Friday.
Goals from Plunkett Kane and Richard Thornton made it a surprisingly easy passage for the Fianna with Cathal McCarron netting for Omagh.
Ardboe breezed through to the first round by beating Stewartstown 2-13 to 0-8 in a preliminary game at Edendork.
Second half goals from Tommy McGuigan and John Cunmings killed off the challenge of the newly-promoted Harps.
On Sunday, Moy face Aghyaran, Trillick play Dromore, Cookstown take on Pomeroy while Carrickmore tackle Clonoe.
Owen Mulligan is a fitness doubt for Cookstown's game against Pomeroy at Dungannon after limping off in a club match last weekend.
WJ Dolan Tyrone SFC preliminary round
4 May
Ardboe 2-13 0-8 Stewartstown
Coalisland 2-19 1-8 Omagh
5 May
Killyclogher 1-11 0-10 Derrylaughan
Errigal Ciaran 0-8 0-6 Clann na nGael
6 May
Moy v Aygharan (Fintona, 1330)
Trillick v Dromore (Fintona, 1500)
Cookstown v Pomeroy (Dungannon, 1730)
Carrickmore v Clonoe (Dungannon, 1900)