The 46-year-old, who is from the Perthshire area, is currently assisting officers with their enquiries.
Mrs Methven was found dead by her son David at about 5.15pm on Monday, February 20, within the cottage that they shared in at Kildinny Farm, Forteviot. She had suffered fatal injuries to her head and body.
In confirming today’s development, Tayside Police issued a further appeal to identify vehicles that were in the area on the morning of the day that Jenny was killed.
Three vehicles were seen by eye witnesses travelling between, or close to, a stretch of roads known locally as the “bad bends”.
The road runs between Forgandenny and Forteviot and each of the vehicles were spotted there between 9.30am and 10.15pm.
The first is a burgundy-coloured Transit van that was seen on the road between bad bends at around 10.10am.
A silver-coloured hatchback car was seen waiting to pass a van at the stretch of road between bad bends between 9.30am and 10am. The car was driven by a blonde-haired woman and there was an empty child seat in the back seat.
A white panel van with a blue stripe along its sides was also seen on the same stretch of road at around the same time (9.30am to 10am). It had its hazard lights on.
Anyone who saw these vehicles on the day or who recognises them by their description should call Tayside Police.
The force is also still appealing for anyone with information that can assist the Jenny Methven Murder Enquiry to contact them.
They can call the dedicated line, which is Perth (01738) 892925, which directs callers straight to the Enquiry Team during normal office hours and to the Force Communications Centre outwith office hours.
Alternatively they can contact the Force Communications Centre on the single non-emergency number 0300 111 2222, or speak to any officer.
Information can also be passed anonymously via the charity Crimestoppers on 0800 555 111.