Police said their enquiries had “determined that the car was registered to an address in the Corban Avenue area of Enniskillen”.
They added that when officers arrived at the house in Enniskillen they discovered the body of the woman.
Det Ch Insp Gary Robinson of the Police Service of Northern Ireland (PSNI) said detectives were working to establish the full circumstances surrounding the woman’s death and appealed for information.
Robinson appealed for anyone with any relevant information to contact police.
Fermanagh and Omagh District Commander, Supt Pete Cunningham, said his thoughts were “with the victim’s family and friends as they struggle to come to terms with what has happened”.
“As a victim-focused organisation, violence against women and girls is a priority for policing, and I understand that incidents like this will cause significant concern.”
He added that there would be an increased police presence in the area.