How to Save existing TLB as new name to another folder?

First backup your current toolbar to be sure all your settings will be saved in all cases.

Then:
1) Open TLB Settings and go to the Toolbars tab
2) Create two toolbars with paths:
F:\APPL\Data\True Laucnbar\A
F:\APPL\Data\True Laucnbar\B
Note: When you press New button TLB show "Select folder" dialog. Press cancel and write path by hands.
3) Close TLB
4) Move all files from F:\APPL\Data\True Laucnbar to F:\APPL\Data\True Laucnbar\A
Note: this folder contain the hidden files
5) Hold down the SHIFT key before opening TLB. In this case TLB show the selection dialog. Select the toolbar with path F:\APPL\Data\True Laucnbar\A

Now you have old toolbar in new location. I hope this helps. Let me know if something not clear. I'll post some screenshots.

If somehting will be wrong you can restore everything from backup.