Horne family in... New Zealand?

I was recently contacted by another researcher about someone in my tree by the name of John Lewis Horne.  According to the information I had, John was born in 1845 in Edinburgh to James Wilson Horne and Sophia Lewis.  I'd found records in New Zealand for a John Lewis Horne on FamilySearch.org... but I was never sure if it was the same person or just a coincidence.  But now, it looks like this John Lewis Horne is actually one of my Hornes: my great-great-grandfather's first cousin.

John married a woman named Elizabeth Margaret Lodge, and he was her second husband.  Elizabeth seems to have been quite an interesting character.  You can read about some of her trials and exploits on FamilySleuth's blog.

John and Elizabeth had one son, also named John Lewis Horne.  I knew that a number of my Hornes had spread out from Scotland, but this is the first time I've been able to trace any of them to New Zealand.  I wonder how many distant cousins I've got there that I'm not even aware of...