There is nothing to fix, these are unencrypted signatures loaded into memory by aawservice.exe (bad form as they can be detected by the resident AV), which belongs to AdAware.
Is your AdAware the Pro/paid option that runs resident or had you just done a scan with it (hence the signatures in memory) ?
Personally I wouldn't give AdAware hard disk space as it really hasn't kept pace with anti-spyware/malware (MBAM or SAS I would say are the two leaders right now).
What scan were you doing, I suspect custom scan with Memory included in the scan ?