I know we can set the following values to the android:gravity and android:layout_gravity properties:
Something I saw on Sandip's blog that I almost missed, fixed my problem. He said layout_gravity DOES NOT WORK WITH LinearLayout.
If you're using a LinearLayout and the gravity settings are driving you nuts (like me), then switch to something else.
I actually switched to a RelativeLayout then used layout_alignParentLeft and layout_alignParentRight on the 2 contained TextViews to get them on one line to go far left and far right.