Adding 2 X GFCIs to protect Switched and Unswitched Hot sharing same Neutral and Ground
Thank You both...As suggested I traced the circuit to the first switch witch was the one that controlled the light fixture in the dining room.  I went ahead and cut out the single gang outlet and fitted a two-Gang box and spliced in the GFCI and voila both switched and un-switched lines are now protected with 1 GFCI.

Sorry about the first picture being on its side.