Well I haven't actually found him as I already had him from when his family arrived.
But the time frame has been narrowed down so I will keep looking for his arrival
To answer your question, yes, the Master of the GAUNTLET was Captain Lucas.
The journey had an interesting ending as upon arrival 20 December 1875 and being checked by the health officer it was confirmed that Typhoid was on the ship.
(excerpt from article - see link below for full story) "Such was the case with the iron clipper ship Gauntlet of 677 tons which left England from Gravesend on 18 September 1875 with 272 passengers. During the voyage of three months enteric (typhoid) fever had broken out on board. The first case of fever had broken out about forty days out of London, a boy being the first noticeable case. There were twelve deaths up to 21 December. The Gauntlet arrived at Cape Moreton on 20 December, and remained there a day (Ed.to take the pilot aboard). It arrived at the Bar at the mouth of the Brisbane River on 21 December and remained there two days while the ship’s medical officer reported to the Port’s Health Officer. Because of the contagious nature of enteric fever aboard, the ship, was placed under quarantine and on 23 December it was towed to Peel Island by the Government tug Kate".The passengers were quarantined on the island for 40 days and finally arrived Brisbane on 7 February 1876.
https://peterlud.wordpress.com/2019/08/24/stories-from-peel-island-8-quarantine-throwing-down-the-gauntlet-1/Thanks again for your input.
Barbara