The body of Grace Millane has now been formally identified.
Detective Inspector Scott Beard says Grace has been returned to her family.
"They are in the process of organising to take her home, in the next few days.
"Work continues to piece together exactly what happened to Grace, as we build a timeline of the circumstances.
Detective Beard made an appeal to the public about a shovel they believe could be related to Grace's death on Tuesday afternoon.
"Calls continue to come into the 0800 number with information from the public," he says.
"At the moment though we have only received several calls in relation to the shovel.
"We still need to hear from anyone who may have come across the shovel, or anyone who has picked it up and taken it home."
Anyone with more information should contact contact Police on 0800 676 255.