quickly restoring SMS from 2.3.5 Android phone

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http://forums.androidcentral.com – I am trying to transfer about 14,000 SMS from an unrooted 2.3.5 Android to a rooted 4.2.1 Android phone. MyBackup Pro backs them up quickly, but restores them at a rate of less than 1/second. Thus, I have been looking for another tool to back up with: 1. Titanium Backup: no, as the 2.3.5 phone is unrooted; 2. new Windows-based Ultimate Backup Tool: no, as it requires Android 4.0 or greater. Would you have any recommendations, other than running the restore tool all night? A tool that allowed me to back the SMS up in chronological blocks could be very useful. Thank you, Colin (HowTos)