A Western Australian woman has been charged with the murder of a 71-year-old woman whose body was found at a home in northern Tasmania.

The 46-year-old was charged on Thursday night after being arrested by police at a hotel in the WA town of Bunbury.

Veronica Corstorphine's body was discovered by police in a South Launceston house on October 29, after a friend raised concerns having not seen her for a month.

Investigators believe Ms Corstorphine was killed around October 3.

They don't believe a weapon was used and say her body showed no sign of injury.