Lancashire Police in England said the woman’s husband went out onto the street to get help in the early hours of October 16th when a man and woman said they could assist.
The pair entered the property saying they could call the emergency services while the husband, in his 80s, went to be at his wife’s bedside.
Officers said the purse and mobile phone were discovered missing and reported stolen from the property in Walter Street, Brierfield.
The woman died later on the same day, Lancashire Police added.
Pc Rob Bayley said: “To commit a crime like this on an elderly and vulnerable man in his hour of need is shameful and appalling and we are committed to finding those responsible.
“The male victim believed the offenders, who were passers-by, were helping him by ringing for an ambulance while he went back upstairs to sit by the bedside of his dying wife.
“But it has later transpired that they had in fact helped themselves to a purse, which was on a table in the front room and a mobile phone from inside a handbag, which was down the side of a chair.”
