Play was stopped for ten minutes when Worrall went down in the first half, before his replacement was forced off after the break.
Worrall had to leave the pitch on a stretcher at the Racecourse Ground following a clash of heads.
Medical staff quickly arrived to give the 33-year-old treatment, resulting in play being stopped in the 11th minute.
He was eventually replaced by Stephenson, as fans and players inside the stadium applauded the ex-Millwall midfielder.
Commenting on the injury, Barrow posted on X: "Stoppage in the game.
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"Wrexham plays a deep ball to the back post where David Worrall gets up bravely to head it away, but after a clash of heads, he looks in great discomfort and is down. We hope you're OK David."
Hollywood legend Ryan Reynolds - Wrexham's co-owner - was quick to offer his support to the stricken star.
He stated, 'Hoping David Worrall is okay,' while also posting two prayer emojis.
Following the 4-1 victory, Reynolds then said: "Great start to '24 for Wexham … Hoping Barrow players, David Worrall and Luca Stephenson are okay. Scary few min (sic) there."
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In what was a chaotic first half, Barrow took the lead after just 33 seconds and were leading 1-0 at the time of Worrall's injury.
And Wrexham made the most of the added time, as they scored three times to go into the break 3-1 up.
Former Sunderland and Marseille striker Steven Fletcher was on hand to fire in a double.
Meanwhile goal machine Paul Mullin was also on target to bring his tally to 11 for the season in all competitions.
Just five minutes into the second half, Stephenson clashed heads with James McClean, resulting in the match once again being halted.
After seven minutes, he came off for Mazeed Ogungobo, with Fletcher sealing his hat-trick in the 67th minute.
Wrexham went into their home clash a point ahead of Barrow in the League Two table, knowing victory would see them boost their automatic promotion hopes.
They remain in third spot - just two points behind leaders Stockport with the Welsh outfit having a game in hand.