Do you know what, Suzannah? As soon as I had posted that, I thought "Hell, it's only £11, and a trip to Lewes would cost a lot more than that, so it's worth a try!"
They sent the username and password immediately, so I was on their site in minutes.
They are transcripts, so it hasn't helped with the name that I think might be mistaken. But there's so much info on line that it's very useful in piecing together other families with the same name so that I can confirm or disprove any connection.
BUT there is a gap in the births index between 1799 and 1812, which is just the point where I could see the next generation's connections. I'm just about to email them to see if the originals exist or not. Also, I couldn't find any Marriage records, although the main list implies there are some. Maybe they're still working on them.
Wish my broadband wasn't on "go slow" at the moment; it's very frustrating w-a-i-t-i-n-g for pages to load.
Happy hunting!
Angela