Police now say the coroner is satisfied that the body is that of Amanda Hawkins, aged 44, of Walsall.
Staffordshire Police spokeswoman Faye Casey said: "We can confirm that the identity of the body is Amanda Hawkins.
"We are still waiting for a cause of death but it is not being treated as suspicious."
She went missing from her assisted accommodation complex on Sutton Road, Moxley, on May 30.
Police embarked on a large-scale search for Miss Hawkins.