Police Scotland can confirm that the woman who died following an incident on Ladies Drive in Lerwick was Tracey Walker, 40.
She was found outside a property on the street around 2.05am on Tuesday, July 30.
A 31-year-old man and a woman, 27, previously arrested in connection with her death have now been charged.
A report will be submitted to the Procurator Fiscal and they are both expected to appear at Lerwick Sheriff Court on Thursday, August 1.
Her family has requested that the following statement is issued by Police Scotland.
"We are very grateful to everyone who has been in touch over the last few days offering their support.
"We now ask that our privacy is respected as we come to terms with our loss."
Detective Inspector Ross Fitzgerald said: "Our thoughts are with Tracey's family and friends at this difficult time.
"I would again take the opportunity to thank local residents for their patience while officers have been in the area and also thank those who have assisted our enquiries so far.
“Anyone with information about this incident who has not yet spoken to police is asked to contact 101 quoting incident 343 of July 30. Alternatively you can contact Crimestoppers anonymously on 0800 555111."