Yes, in 1988, JWs were so happy to learn that Carbon dating proved the Shroud of Turin was a fake from the middle ages ... yes, once again, Jehovah's Alleged Organization was forward moving in its Truth ... Ahhhh ... but wait! ... There's more ...
It turns out, that while the Carbon dating was accurate, it was not understood that the 1988 test inadvertantly used a repair patch from the 1300's. So, yes, the carbon dating would show this date. However, recent tests show that the main part of the Shroud is much older ... at least 1,300 years old and possibly up to 3,000 years ... but then ...
If the Shroud is 3,000 years old, then it would be 1,000 years older than Christ ... would Jesus have been drapped in such an old cloth? I believe that a new radio-carbon test is needed on the origial portion of the Shroud to get a more precise date.
The only other question that remains, is that even if it is dated correctly to Jesus lifetime, is it an image of him at the time of his death? It appears to be ... but is it?
Read all about it at: http://news.bbc.co.uk/1/hi/sci/tech/4210369.stm
Jim Whitney