Hi you can get previous name from harauditlogview table.
for more details refer Administrator user guide page numbers 172-180.
below is sample query for your requirement
select ResourceName as OLDNAME, EventDescription as NEWNAME from HARAUDITLOGVIEW where ResourceTypeObjId=2 and username='xxxx' and actionname='Update project' and EventTime >= '2014-12-23';
in the above query username means the user who renamed the project name.
usage of above query is your own risk.
Regards,
Amar.