Leanne McKie, 39, was a obliging officer with Greater Manchester Police, Cheshire Constabulary mean.
She was a mother of three young children, the force said.
Cheshire Policewomen were called to Poynton Park at about 3.45am on Friday after announcements a body had been found.
A 43-year-old man was arrested on suspicion of murder and is being contained in police custody.
Detective Inspector Adam Waller said: «We are au fait of a number of rumours circulating in relation to the identity of the victim and, whilst formal rapport has not yet taken place, we do believe that the victim is 39-year-old Leanne McKie, from Wilmslow.»
Guard cordons are in place in Poynton and Wilmslow as inquiries continue.
Mr Waller summed: «Leanne was a mother of three young children and a serving police apparatchik in Greater Manchester Police. Our thoughts at this difficult time are with Leanne’s relatives, friends and colleagues.»
He said that the incident appeared to be isolated and that regulate were not looking for anyone else in relation to her death.
Mr Waller rushed anyone with any information to contact police.