North Yorkshire Police confirmed this week that while the case is ongoing a potential name for the woman has been received. She was discovered in 2004 near Pen-y-ghent, her half-naked body had been dumped into a stream.
It's believed that the woman was a 'Thai bride,' who came to the UK after marrying a local man. Tests carried out on her hair are believed to show that she lived in Lancashire or South Cumbria.
A North Yorkshire Police spokesman said: "The Cold Case Review Unit has received a name regarding the unknown South East Asian woman who was found dead on Pen-y-Ghent in 2004.
"Inquiries are ongoing to establish the identity of the woman."
It's believed that the woman was killed and later transported, possibly by a 4x4 vehicle, to the stream. She was found by walkers on the Pennine Way.
The family have said their relative married a man from the UK, and moved to England. They had not heard from her in 15 years.
An inquest was held in 2007, but an open verdict was recorded. A cause of death has not yet been established.
The police have published photographs of the woman, along with an artists impression.
If you have information call 101.