As part of the Parish Register information website FreeREG (a not-for-profit project), several parish registers within the Clackclose Hundred in the Downham Market area are now being transcribed, and are now available on a searchable database:
http://freereg.rootsweb.com/cgi/Search.pl
Currently, the period 1695-1900 is available for St Edmund's, and covers baptisms, marriages and burials, the earlier period being an ongoing project.