What to do in the case of an accident (discussion)

I've been involved in an accident which has wiped my memory for the six hours surrounding the incident. Initial phonecall from the police seemed to indicate the driver had stopped at the accident, accepted responsibility and wanted to ring me to apologise. A subsequent phone call from the police to my girlfriend seemed more cagey as to what happened.

What's the best way of me finding out what happened to me? Apparently no witnesses came forward, so I've got to find some cctv footage, or rely on the drivers testimony?

So no CCTV footage in the end, and no other witnesses. Still can't remember the accident, but the driver has accepted full responsibility.

I asked a solicitor to persue it six weeks ago, and it doesn't appear as though they've done anything yet. It's a fairly reputable firm (CTC use it for their members), and it's on a no win-no fee basis.

I haven't had any dealing with a solicitor before, is this kind of timescale normal ? Or should I start looking elsewhere ?