The entire Nature archive dating back to Volume 1, Issue 1 (November 1869) is published online.
(Please note: The Nature+ subscription packages have a different access level and you can find out more about those subscriptions here, Which journals are included within the Nature+ subscription? and all of the Nature+ FAQ's.
A personal subscription to Nature includes access to the archive from January 1997 to current day. Access to the archive material prior to 1997 is available via an Institutional Site Licence or alternatively individual articles can be purchased online.
If you belong to an institution; you may recommend the archives to your librarian and ask them to complete the online form found on the Springer Nature Librarian pages.
All of the available supplementary information for the entire archive has been posted on the website. If the supplementary information that you require is not currently available, then it is unlikely to be recovered.
Google Scholar may be a useful tool for locating articles and citations that are published or archived online.