Dear Jen et. al.,
Just to let you know there is another cousin out there researching similar material, although I am not descended through T M Adams, rather his wife, Sarah. Her pre-marital first child Emma (born ~1847), by the philandering, adulterous (he was married) James Phelps, is my gg-gm. Thomas Mark raised Emma as his own and provided well for her. By coincidence James Phelps was also a baker/pastry chef in Sydney. He returned to the UK where he died.
If I can be of assistance in aspects other than T M Adams' roots please drop me a line.