Hello, My great great grandfather was Zacharia Biddle, as was yours, so hello cousin. I have the surname as well, and I live in Sydney, and have just started the research project re the Biddles, although I have done it casually for the last 30 years. I am happy to share some of the results of my research, such as the marriage of John Wright Biddle to Amy Hill, in Woolarah, NSW, in 1892. He died in the Boer War, in Sth Africa, on 19/7/1900. He had one son, John W., born in Sydney in 1900.
But I have never heard of William Arnold. I always wondered about the "Rome" thing, but I guess it was a job. So, be in touch if you wish. I call myself fandoog. John Zacharia seems to have only one heir, and that was Henry Gerald. He had sons John and Oscar. Where is Oscar. On Henry's second marriage, he had John "Jack". I think that is your grandfather, if my knowledge of the Biddles is correct. There are not that many of that Biddle line.