I have a branch called Test_Branch. When I try to delete it using the recommend method, I get the following error:

Cannot delete branch 'Test_Branch' checked out at '[directory location]'.

I get no other information besides that. I can blow away the remote branch easy but the local branch won't go away.

Switch to some other branch and delete Test_Branch, as follows:

$ git checkout master
$ git branch -d Test_Branch

If above command gives you error - The branch 'Test_Branch' is not fully merged. If you are sure you want to delete it and still you want to delete it, then you can force delete it using -D instead of -d, as:

$ git branch -D Test_Branch

To delete Test_Branch from remote as well, execute:

git push origin --delete Test_Branch