Re French connections for the Pavy family: I have nothing definitive, but the following seems strongly suggestive.
The possible Pavy connection to France remains very plausible but not definitively proven.
William Pavy married Jone Rumeles in Wiltshire, England, on 25 July (surrounding text implies the year 1689).http://www.archive.org/stream/wiltshireparishr02phil/wiltshi...
Rumeles is obviously a French name, so maybe this was a Pavy recently arrived from France and still preferring to marry within his own ethnic group.
50,000 Hugenot refugees arrived in England from France beginning in 1685 (4 years before that marriage) when the French government resumed intense persecution of Huguenots that had begun in 1572.http://en.wikipedia.org/wiki/Huguenot#Britain_and_Irelandhttp://www.huguenotsociety.org.uk/history.html
For the period 1891 to 1915 400 Pavys are recorded in France, mostly in the north, in particular, in the French Pais (like a county) de Calais. This is almost as near as one can get to England while still being in France.http://www.geopatronyme.com/cgi-bin/carte/nomcarte.cgi?nom=p...
At around the same time, there were only 42 Pavys in England (the 1881 census). This shows that the name is most likely to have originated in France.
More than half of the 42 Pavys in England in the 1881 census were clustered around a small village called Pewsey in Wiltshire. http://www.britishsurnames.co.uk/surnames/PAVY/1881census
That is the birth place of the Pavys who emigrated to South Australia in 1850 (31 years before that census) and settled around Milang, South Australia.
There is another family called Pavey, but their geographical distribution is differenthttp://www.britishsurnames.co.uk/surnames/PAVEY/1881census
They are also recorded in England from as early as 1524, about 50 years before the persecutionj of the Huguenots got under way in earnest in France. This family never seems to have had members living in Wiltshire.http://www.pjohnp.me.uk/famhist/pavey.htm
Indications of various derivations of the name Pavy / Pavey are given at;http://www.surnamedb.com/Surname/pavy