Lisa Sharkey went missing on June 26, and police and her family are worried about her well-being.
She was last seen in person in Southampton, on CCTV in Camberley, and police believe she has also been in Chertsey and Woking.
The 47-year-old is described as white, 5ft tall, with a medium build and short dark brown hair.
Officers have been conducting extensive searches for her since she was reported missing, and they are now turning to the public for assistance.
Police believe she will be travelling on the rail system.
If you have seen Lisa or know where she is, please call 101 and quote the reference 44220254481.