Donna Boden, 46, from Tettenhall, was found on Dirtyfoot Lane in Lower Penn at about 1.30pm on Saturday.
Police said her death is currently being treated as unexplained and appealed for anyone with information to come forward.
Detective Inspector John Quilty, senior investigating officer, said: “We would like to hear from anyone who may have seen or heard from Donna recently, particularly, anyone who may have seen Donna between 5.30pm on Friday and lunchtime the following day.
“Anyone with any information should message Staffordshire Police on Facebook or Twitter quoting incident number 382 of November 2, call 101 or alternatively contact Crimestoppers anonymously on 0800 555 111.”
Two ambulances, two paramedic officers, a community first responder and an air ambulance were called to the scene.
A spokesman for West Midlands Ambulance Service said: "We were called at 1.34pm on Saturday to reports of a patient in the water on Dirtyfoot Lane, Lower Penn.
"We sent two ambulances, two paramedic officers, a community first responder and the Midlands Air Ambulance from Cosford to the scene.
"On arrival, crews discovered one patient, a woman, who sadly it quickly became apparent nothing could be done to save and she was confirmed dead at the scene."