You may use os.path.split(os.path.split("C:\Users\Name\New\Data\Folder1\Folder1-1")[0])[1] construction: it will produce "Folder1" Sure, if I understood right what your issue is.
os.path.split(os.path.split("C:\Users\Name\New\Data\Folder1\Folder1-1")[0])[1]
"Folder1"