Hi,
Welcome Missadventure. (nice name!)
This "+37mph" isn't good news. Courts are frequently handing out bans for such speeds for a single offence. Even if they didn't ban you for that (fairly unlikely), they could still award 6 points for the new alledged offence, and we don't yet know if you had 3 or 6 points at the time of the offence. If it was six, then that's another way you face a ban. 12 points accumulated in 3 years usually result in a six month ban.
First thing you need to check is the date of offence in 2001. Was it more than three years before the recent one or not? We can't tell from the info provided.
Then you need to decide if you're going to try and fight it. I take it you were stopped at the time by Police? If so any doubts about the identity of the driver at the time will probably not form any part of your defence. It's possible they failed to follow some important procedure and that the case would fail on such a basis. It's possible that if you plead not guilty that by the time it coes to court the police officer at the time may not be available to act as a witness (- he might have left the force, for example).
However, by far the largest chance is that any defence you might put up will fail and you'll be found guilty. At this point you have two options to try to keep your licence. One is mitigating circumstances, and another is exceptional hardship.
I think you're going to need a solicitor.
You should also visit
http://www.pepipoo.com where you will find all manner of skilled folk trying to fight speeding tickets.
Good luck, whatever you decide.