The double-blow will add to manager Paulo Sousa's midfield woes with Joe Allen, Andrea Orlandi and Jordi Lopez already sidelined.
Darren Moore's header from a corner gave Barnsley hope after slack Swansea defending, but Pratley secured the win following a fine Andrea Orlandi set-up.
There's also a long-running mystery surrounding the 1983 disappearance of a 15-year-old girl named Emanuela Orlandi whose family lived and worked in the Vatican.
Orlandi, playing in an attacking left-back role, had a shot blocked by Smith before he succumbed to injury in the 63rd minute and was replaced by Angel Rangel.
From the resultant corner, an in-swinging delivery from Andrea Orlandi was greeted with a firm header by Van der Gun from 12 yards which flew over the crossbar.
Brandy offers strength in depth up-front for Swansea as the 19-year-old Old Trafford rookie faces competition from Gorka Pintado, Andrea Orlandi, Guillem Bauza and last season's top-scorer Jason Scotland.
The midfielder profited from a superb run and cut-back by Orlandi, whom Sousa had just introduced from the bench, delivering an emphatic finish into the top corner from 12 yards.
Dyer again twisted and turned Naylor inside out for Swansea's second clear-cut opening after sprinting onto Andrea Orlandi's cute pass behind Naylor but Cardiff keeper Heaton palmed away his near-post drive.
Goals in each half from Andrea Orlandi and Will Hoskins put the skids under Alan Pardew's men, who have slipped alarmingly down the EPL in recent weeks and have a lengthy injury list.
Down the street a pristine, nearly empty branch of Mexican banking giant Bancomer, devoted to money transfers, sits a few storefronts down from a cluttered travel agent offering transfers under the Orlandi Valuta brand--a subsidiary of Western Union's parent.
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