Reduced to ten men, Frickley battled to the end and were unfortunate not to share the spoils at Chasetown.
The Blues responded with Michael Simpkins heading just over from an Alex Callery right wing corner kick five minutes later, but chances were limited afterwards as the two midfields cancelled one another out.
It took a fine save from Billard to deny George Johnson in the 39th minute.
Peter Knox latched on to a high ball in the 48th minute but did not connect properly and it was easily saved by Scholars shotstopper Ryan Price, while Knox outmuscled Matty Cohen three minutes later and bore down on goal but his drive was well blocked by Price.
Frickley were in command, Stuart Ludlam going close at the far post following a left wing flag kick by Ashmore in the 59th, and they deservedly got on terms two minutes later, Knox flicking a pass to Leon Henry who crossed from Ryan Mallon to score from 15 yards.
This stirred Chasetown into action, and Johnson fired inches wide in the 62nd minute, while a good cross from the right six minutes later saw Chris Slater restore their advantage from close range.
Frickley again responded, Kelvin Bleau overlapping in the 73rd minute and putting an angled shot just off target, but they faced an uphill task when Jack Watts, who had earlier replaced Callery, was given a red card for an alleged elbow.
A 25 yard blockbuster from Ashmore was smothered by Price after 85 minutes, and the Blues forced three corners in an attempt to level, but the home cover remained firm.
Chasetown: Ryan Price, Jimmy Turner, Mark Branch, Matty Cohen, Darren Stride (Jake Sedgemore 81min), Richard Teesdale, Ramone Stephens (Alex Steadman 88min), Chris Slater, Ben Jevons, Dean Perrow, Jordan Johnson (Mark Hands 90min); unused subs, Chris Peel, Andy Westwood.
Frickley: Adam Billard, Kelvin Bleau (Karl Jones 83min), David Cyrus, Danny Walsh (Ben Leonard 89min), Stuart Ludlam, Michael Simpkins, Alex Callery (Jack Watts 57min), James Ashmore, Peter Knox, Ryan Mallon, Leon Henry; unused subs, Bradley Grayson, Grant Darley.
Referee: Mr Andrew Fox
|Chorley||2||0||FC United of Manchester||Att. 1,074|
|North Ferriby United||1||4||Buxton||Att. 229|
|Rushall Olympic||3||0||Burscough||Att. 172|
|Stocksbridge Park Steels||3||4||Northwich Victoria||Att. 174|
|Worksop Town||0||3||Chester FC||Att. 570|
|Nantwich Town||2||0||Whitby Town||Att. 223|
|Matlock Town||0||1||Bradford Park Avenue||Att. 398|
|Ashton United||1||2||Hednesford Town||Att. 145|
|Chasetown||2||1||Frickley Athletic||Att. 221|
|Kendal Town||0||1||Stafford Rangers||Att. 258|
|Marine||2||3||Mickleover Sports||Att. 252|