A murder investigation was launched after Mrs Noone’s body was found at her home in Ratheen Avenue on Sunday 19 June.
A 45-year-old man has been charged with her murder and is due to appear before Omagh Magistrates’ Court today Tuesday, June 21st.
On Monday Detective Inspector Claire McGarvey said: “Police were called to the property shortly before 11am where the body of the 77 year old woman was discovered inside.
“A 45 year old male located at the property has been arrested on suspicion of murder.”
Sinn Fein Cllr John McNamee said: “The community is devastated and in total shock by what happened.
“Her family will need our prayers in the days, weeks and months ahead.”
Ulster Unionist Cllr Trevor Wilson said: “The whole community is a complete state of shock. My thoughts and prayers are with her family at this very sad time.”
SDLP Mid Ulster MLA Patsy McGlone said: “There’s a terrible sense of shock, sadness and grief in Cookstown today after the death of a well known local woman.
“My thoughts and prayers are with her family and all those who knew her who will be devastated.
“The PSNI has now launched a murder investigation and I would appeal to everyone to assist police with any inquiries.”
SDLP Cllr Kerri Martin said: “This is the worst possible news for the family and friends of this woman and the entire community in Cookstown. People are in shock.
“I know that people across the town will rally round at such a difficult time.”
DI McGarvey added: “I am appealing for anyone who believes they may have information which could assist Police with their investigation to contact detectives from the Major Investigation Team at Cookstown Police Station on 101 quoting reference 630 19/06/22.
“Alternatively, information can also be provided to the independent charity Crimestoppers on 0800 555 111 which is 100% anonymous and gives people the power to speak up and stop crime.”