The composure of the home cover, marshalled by Lincoln Adams and Dean Jones, took the sting out a nippy Reds attack, while Michael Simpkins also linked up smoothly with Adams when he came on for the latter on the hour.
The Blues should have opened their account after just 21 seconds, a misplaced clearance dropping to an unmarked Ollie Ryan, who lifted his 25 yard drive over the target, while Gavin Smith put a through ball to Ryan in the second minute, only for his effort to be blocked on the line.
The Tykes looked impressive in midfield, passing the ball accurately and quickly, but floundered when they got within shooting distance.
A 20 yard free-kick from Brad Grayson was turned around a post by Lukas Lidakercius at full stretch in the 19th minute, before the Reds posed their first threat two minutes later.
Adams diverted a strong shot from Danny Rose off the line and.,while the corner kick was half cleared, Rose seized the ball and drilled a 25 yard drive inches wide.
Back came the home side, Danny Walsh playing a neat one-two before being foiled by another fine save from Lidakercius, who also foiled Ryan with a point blank save when he broke clear in the 26th minute.
A penetrating Tykes raid in the 32nd minute ended with Paul Digby whipping an angled 25 yard effort across the face of goal.
The deadlock was broken in the 32nd minute, Grayson collecting a pass and beating the visiting keeper from a tight angle.
A free-kick from Ashmore led to Walsh volleying just over in the 41st minute, and Walsh had another fine effort blocked on the line on the stroke olf half-time.
Frickley brought on Charles Fisher, Mark Whitehouse, Alex Callery and Jack Watts, after the break, while Barnsley, fielding their Intermediate side, also made changes, but the tempo was maintained.
Callery almost scored direct from a left wing corner kick in the 49th minute, Matty Steade heading off the line at the far post.
A minute later, Watts controlled a through ball before turning and striking a volley which Lidakercius saved well.
Lee Bennett almost improved the Blues advantage in the 58th minute, bringing a cross down and beating the keeper with a 15 yards left foot volley which zipped just over the bar.
Barnsley team manager Ronnie Branson rang the changes and his youngsters started to stretch the home defence, Jordan Bradshaw darting off his line to save at point blank range from Rhys Oates in the 84th mnute.
Walsh split the Barnsley cover two minutes later with a penetrating pass to Watts, who was well tackled by Jake Scott as he shaped to shoot, play switching rapidly to the other end when Bradshaw came out quickly to clear the danger.
Frickley: Lawrence Matthewson (Jordan Bradshaw 71min), Gavin Smith (Charles Fisher 46min), James Kay, Danny Walsh, Lincoln Adams, Dean Jones (Michael Simpkins 60min), Lee Bennett (Ben Leonard 65min), James Ashmore (Alex Callery 46min), Brad Grayson (Jack Watts 46min), Ollie Ryan (Ashley Longstaff 71min), Teo Ringrose (Mark Whitehouse 46min).
Barnsley: Lukas :Lidakercius, John Stones, Matty Steade, Jake Scott, Kern Miller, Kurtis Turner, Sam Patterson, Paul Digby, Danny Rose, Matt Reece, Alistair Taylor. Erico Sousa, Tom Williams, Josh Alderson, Rhys Oates, Kenna Ngoala, Brad Kilburn, Joe Martin, Jordan McLeod, Chris Moyo, Brad Abbott, Mcauley Shillito.
Referee: Mr Nigel Bannister
Gate:586.