Gothmog a nazgul?

[SamwiseGamgee]

Obloquy, i've got to disagree with your post 2 or 3 above. I cite The Hunt for The Ring:

Now at the time the Chieftain of the Ringwraiths dwelt in Minas Morgul with six companions, while the second to the Chief, Khamul the Shadow of the East, abode in Dol Guldor as Sauron's lieutenant, with one other as his messenger.

Khamul was lieutenant of the Nazgul, not the lieutenant of Minas Morgul- who may or may not have been Gothmog. Also, the Nazgul could be concentrating on the attack on Lothlorien from Dol Guldor, so they had plenty else to be concerned with.