I don't know about this one in particular but I do have Josephs all over the place - I think it was the most common Christian name amongst them!!!
However, I've been very interested in knowing, in general, about CONSTANTINEs in NZ!I've collected a little data - just in passing - in a sort of GOON way (Guild of One Name Studies - which I've contemplated joining).
There's an intersting family that started in UK, came to NZ and then returned to the UK.Keep bumping into them on census - and one member of the family was killed in action WWI.
If you get further back on your Joseph - I do have some very interesting old documentation, IF he originates out of the Yorkshire families.