Ms Eskrett’s body was discovered shortly after 2.40pm on Monday in a grassed area behind a property on Porter Street.
Humberside Police say the family of Ms Eskrett – who was from Hull – are being supported by specially trained officers.
A spokesman for the force said: “A post mortem has taken place and at this time her death is being treated as unexplained with enquiries ongoing to establish the circumstances leading to her death.”
The last reported sighting of Ms Eskrett alive was at about 1pm last Friday, August 26, in the Walker Street area.
Detectives would like to speak to anybody who saw her after Friday afternoon.
Anyone with information is asked to call Humberside Police’s 101 number, quoting log reference 313 of August 29, or Crimestoppers anonymously on 0800 555111.