Woodman has been an ever-present for the Swans this term, and lined up once more at the Liberty Stadium as Steve Cooper’s men hosted the Owls, who had United winger Murphy in their line-up.
Goals from Rhian Brewster and Andre Ayew gave Swansea a two-goal advantage and though Atdhe Nuhiu pulled a goal back deep into stoppage time, Woodman’s side held on to take the three points which keeps them in the hunt for a play-off place.
The forward’s late consolation spoiled Woodman’s hopes of recording a 13th clean sheet of the campaign, while Murphy – who has netted five times in 38 outings during his time on loan at Hillsborough – also played the full 90 minutes in south Wales.
In Italy, meanwhile, Achraf Lazaar made a cameo appearance for Cosenza as they were beaten 1-0 by Ascoli on Friday.
The Moroccan full back came off the bench for the final nine minutes of the fixture at Stadio San Vito-Gigi Marulla, making the ninth outing of a season-long loan which has seen the 28-year-old score once.