Create a new folder outside of your current project. You can give it any name. (Example: You have a checkout for a project named "Customization". And it has many projects, like "Project1", "Project2"....And you want to create a branch of "Project1". So first open the "Customization", right click and create a new folder and give it a name, "Project1Branch").
Right click on "Myproject1"....TortoiseSVN -> Branch/Tag.
Choose working copy.
Open browser....Just right of parallel on "To URL".
Select customization.....right click then Add Folder. and go through the folder which you have created. Here it is "Project1Branch". Now clik the OK button to add.
Take checkout of this new banch.
Again go to your project which branch you want to create. Right click TorotoiseSVN -> branch/tag. Then select working copy. And you can give the URL as your branch name. like {your IP address/svn/AAAA/Customization/Project1Branch}. And you can set the name in the URL so it will create the folder with this name only.
Like {Your IP address/svn/AAAA/Customization/Project1Branch/MyProject1Branch}.
Press the OK button. Now you can see the logs in ...your working copy will be stored in your branch.
Now you can take a check out...and let you enjoy your work. :)