The terminal at the Living Quarters will open using the Steam Battery, in the same way that you open Sully's, except that the connectors must equal -3 instead of -5.
To use the terminal, you need to get the key, which is far away on the right side of the island, in a closet at the Greenhouse of the Production zone (Botanical Research Laboaratory). You will need to get the Bridge Key from Captain Ziggs' quarters atop the Hub, and then go through the Research labs to find the key.
There are four essentials : get the vine from the top of the building left of the Living Quarters, reactivate Sprocket in Sully's, get the rubber mallet from Sully's, and get the Dirty Beaker from inside the Museum. You could also enter the Mayor's office, but only to get the code number, which is 0516.
You use three different terminals, each with a separate key for the Steam Battery.
The first is Sully's Key, which is hidden in the Robot Crab outside the Living Quarters (far left of the island).
The second (Drawbridge Key) is in the secret compartment in Captain Ziggs' room, which can only be accessed when you have Sprocket and the robot crab to cool the lower hatch cover.
The third (Living Quarters key) is in a Maintenance Closet inside the Biological Lab (far right of the island) To reach it, you must use the drawbridge key.
(see the related questions)
There are three separate keys to use (with the Steam Generator) for the doors on Steamworks Island.
1) Sully's Key -- pops out of the Robot Crab at the Living Quarters
2) Bridge Key -- in Captain Ziggs secret chamber atop the Hub (take the elevator)
3) Living Quarters Key -- in a closet, behind a carnivorous plant monster, in the Research Lab to the right of the island
in the trash
Enter steamworks island and go left. It's RIGHT THERE
Use it for the steam terminals
in the elevator there is a secret room with a skeleton that is where it is
on the trash can
it is in sully's steam powered paraphernalia
yes there are many bateries
There are no ghost on steam work island
The Steam Battery is in the garbage bin on the side of the Clockwork Cantina, which is just to your right when you enter the island.
You use the steam battery in Gear Alley. On number 5.
The Steam Generator (to open the doors) is in the trash bin to the right of the Cantina.
you have to get the number: minus five