Toadwart will not show up in the Mushroom Bar and Grill until you pass him running errands in somewhere in Maldura. You will know this has happened when you get a pop-up window with a mystery 121 Status Point reward. This location varies.
Trying to share this quest, I got the message "requires completing the quest, "It's Pillar Time". Turned it in and Toadwart appeared.
I finally cornered the scrawny, albino goblin who I kept seeing running around Maldura, in the Mushroom Bar and Grill. His name is Toadwart, and he is fiercely loyal to his mysterious master. I suspect I can convince him to reveal his master if I help him obtain the ferrovanadium he has been sent to fetch.
Toadwart is an errand boy for a mysterious master. He can and does run throughout Maldura, and can be spotted in other locations. You need to travel Maldura until you get an unexpected status ding from spotting Toadwart, then you will be able to reliably find him in the Mushroom Bar and Grill.