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Fellowship for international students are tricker. Still check out the above lists in case anything new pop up, but as far as I know it essentially comes down to the fellowship programs provided by your own country/government/organization.
Every once in a while you would get an email from Clare about new fellowship opportunity, so definitely watch out for those. For instance, in Sept 2014 National Research Council annouced fellowship opportunities, some may be open to foreign nationals (see link here).