Thanks very much for your prompt reply. This morning I followed the instructions you linked (mostly) I was a little confused by the options table, as there only appear to be two entries in the options table that relate to the newsletter plugin.
My subscribers and my past emails appear to have transferred just fine. However, none of my lists appear to have transferred. This is a problem. Can you point me in the right direction?
Using phpmyadmin I exported the following tables:
newsletter
newsletter_emails
newsletter_sent
newsletter_stats
newsletter_user_logs
Did I miss something?