Yes indeed I am from William Simons - he was my great-grandfather. I have firm information back to his great-grandfather, Thomas Simons, and further information which takes me back to 1612, or possibly much earlier.
I have had email contact with Romina Teresa Shand and with Alfredo Ardouin, both of whom are descended from Mary Clara Louisa Simons. I would love to hear more of the Chilean connection.
I have plenty of information to share - I suggest you contact me directly.