A LATE Sam Foster goal denied Stapenhill all three points at high-riding Holbrook.
The Swans were unrecognisable from the side that surrendered in the second half against Radcliffe Olympic in their previous East Midlands Counties Premier League game.
They twice took the lead through Callum McBride goals, only to be pegged back at the death.
The visitors attacked straight from the kick off, McBride making room for himself only to see his shot deflected wide.
Sports responded with Jake Dodds releasing Coxon in the box but the striker shot wide of the near post.
Six minutes in, the Swans took the lead.
Harry Bullock launched a long ball forward which was chased down by Tom Ellerton.
Sports keeper Daniel Graves read the danger and raced out of goal but Ellerton just got there first with the rebound off the keeper falling perfectly for McBride to slide the ball into the unguarded net.
Graves did much better moments later when he faced McBride in a one-on-one situation and this time denied the striker with a fine save.
At the other end, Robert Labbate picked out Coxon with an inviting cross from the right but the busy striker headed straight at Bullock.
Then Kyle Hazeldine rode a couple of lunging tackles before firing in a deep cross to Labbate but the full-back's full-blooded header could not beat Bullock.
The pressure continued with a routine ball into the box causing chaos and Coxon reacted first to smash the ball into the roof of the net despite strong appeals from the Swans that a handball occurred in the build-up to the goal.
A minute later, a misplaced pass by Brent Upton was seized upon by Matt Harris, who immediately played in Coxon – but his close-range angled shot was kept out by Bullock with the rebound put out for a corner.
On 23 minutes, Sports pressed the self-destruct button. A mistake by Labbate, who got in a mix-up with Foster, let in McBride, who made no mistake as he fired the ball into the bottom corner.
Then a surging run from midfield by Alex Britton ended with a cross-shot which flew over the angle of the woodwork.
Next, an in-swinging corner from Tom Liversage was hooked over the bar by Upton.
The elusive Liversage then set off on a mazy, jinking run from midfield which took him past three defenders to the byline.
He then dragged the ball back onto his left foot to give him an angle and went for goal but he could not beat Graves. A cut-back into the box may have been a better option.
The half ended with a speculative efforts from Dodds flying wide.
The hosts came out after the break in determined mood. An attempt by Harris rebounded to Coxon who shot wide.
Then Chilaka collected a long clearance but he too was off target.
Seb Szondi then fed Coxon, whose shot was deflected for a corner.
Bullock claimed an inviting cross from Chilaka as the pressure continued.
Moments later, Harris headed wide from a wicked ball whipped in by Mather.
Just past the hour, the Swans had their first decent attack of the second half.
Alex Rowland and McBride combined to release Liversage down the right but Graves came out to claim the cross.
Next, a low driven cross by Liversage just eluded McBride as he slid in to turn it home at the far post.
However, the action soon switched back to the other end as the hosts, with all three substitutes on, went all out for the equaliser.
Szondi crossed to Coxon who set up Harris but he scuffed his shot straight to Bullock.
Then Szondi hit Ryan Baker who crossed to the far post for Stephen Akers – but the substitute headed over.
Akers tried again soon after but he could not beat Bullock.
Five minutes from the end, the pressure finally told.
An in-swinging corner from the right by Lee Mitchell caused mayhem inside the six-yard box and centre-back Foster got the last touch to force the ball over the line.
In a frantic finish, both sides had chances to win the game. Mather sent a free kick over the bar from a promising position and Nathan Rolph had to be alert to boot clear a cross from Akers.
For the Swans, Lewis Campbell broke clear only to send a cross-shot just wide and well into injury time, Upton picked out Liversage with a cross from the right but the busy striker headed straight into Graves' arms.
GOALS: Coxon 13, Foster 85 (Sports). McBride 6, 23 (Swans).
HOLBROOK: Graves, Labbate (Akers 60), Mather, Dodds (Mitchell 59), Foster, Hayes, Szondi, Hazeldine, Coxon, Harris, Chilaka (Baker 68). Subs not used: Hahn, Hallsworth.
SWANS: Bullock, Furniss, Rolph, Upton, Austin, Swift, Rowland (Gilligan 79), Britton, McBride, Liversage, Ellerton (Campbell 85). Subs not used: Nolan, Bromley.
SWANS STAR MAN: Callum McBride – two superbly taken opportunistic goals.
REFEREE: D Robinson (Lincoln).