Small motel that does exactly what it says on the label. They were very helpful and are well-positioned as you come off the ferry - just turn left along the main esplanade and it's the building behind the Federal Hotel (it's nicer than the pub, I promise). It was quiet and they have a no-tolerance policy about noise after 10pm because the motel's used by workers who're in T.I. for short stays and have to get a decent rest.
Bed was comfy, shower nice and hot with great pressure, room clean and quiet, and they had a lovely dog called Chino who accepts pats when she's outside. Our ferry didn't go until lunchtime and the management was nice enough to give us a late checkout.
A lot of people come to T.I. for a day trip, but an overnight stay is good. We stayed two nights: flew into Horn Island, came over on the ferry in the late afternoon, and had dinner at the Grand Hotel (pub meals - quite good, though not 'gourmet'). The next day we walked up to Green Fort on the hill, then we went to the Gab Titui cultural centre. We walked around the main road on the island, past the hospital, primary schools, high school, cemetery (interesting to see the number of different people who've called T.I. home) and then had a rest before going out for dinner and a drink. The next day we went back to Horn and Cairns.
Well worth the schlep all the way up there to see a part of Australia that most Sydneysiders will never see. Not only beautiful but interesting, accessible, and friendly.