You need to unmount a filesystem to shrink it. So, for /home you'll want to be log in as root and
umount /home. If it's 'busy'. You may need to stop any processes using files here.
Then, shrink the file system to just below your targeted logical volume size.
resize2fs /dev/mapper/vg_nastgweblls01-lv_home 99G
Shrink the logical volume to the targeted size.
lvreduce -L 100G /dev/mapper/vg_nastgweblls01-lv_home
Grow the filesystem to the logical volume's capacity.
The reason I do it this so I don't have to do any math and keep the filesystem the size of the container. A bit lazy, but it works great.
Now, you have free space to grow root.
lvextend -L 75G /dev/mapper/vg_nastgweblls01-lv_root
Don't hesitate to leave some unallocated space since it's easier to grow as needed later.