Hi,
SSIS related questions should be posted on this forum (SQL Server 2005 Integration Serviceshttp://qa.sqlservercentral.com/Forums/Forum148-1.aspx)
Anyway, I guess that by Generic Windows Account you mean local account which is not a domain account. Did you verified that account has read access to the share?
You could execute
runas /user:GenericWinAccount cmd
and by using shell with valid security context try retrieving the file from the file share (e.g. Xcopy, explorer). If you are using Local Windows Account you should create a copy of this account on the destination server with the same name and password and grant it with read permissions to the file share.
Cheers, Max
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