This is the father of Mariana Franklin Mills who married Philip Dixon. They are the parents of Queenie our grand mother. We live in New Zealand, but clearly from our great grandfather originate from Scotland. I can't see a direct link, but maybe you have a few more pieces of the jigsaw to establish if one exists. The following extract is how we have to date established the Arbroath link.
Captain Alexander Mills, 1866-1882 the Harbour Master, Timaru, was a native of Arbroath, Scotland, 48 years of age. He leaves a wife and seven children fairly provided for. Captain Mills who was alive, but expired soon afterwards. When brought ashore from the lifeboat, he was insensible; but he recovered for a moment, and wanted to walk. He remarked, "Let me alone, I'm all right, boys." He was carried to his home on the cliff, but died on the way. The medical man kept up artificial respiration for an hour and a half, and then used the galvanic battery; but these remedies unfortunately came too late. The verdict of the inquest on his body returned that he died from the effects of submersion in water while in the execution of his duty. A Masonic Lodge member.
May 16 1882: Captain Mills is to be buried this afternoon with Masonic honours.