John Piper, Captain - Who is the father of John Piper?

According to https://en.wikipedia.org/wiki/John_Piper_(military_officer), he is the son of Hugh Piper, a doctor.

According to http://adb.anu.edu.au/biography/piper-john-2552 he is
* the son of Hugh Piper, a doctor.
* the nephew of Captain John Piper
* brother to Hugh who arrived in Australia in 1799

According to http://australianroyalty.net.au/individual.php?pid=I63134&ged=p... he is
* the nephew to Captain John Piper
* brother to Hugh who arrived in Australian in 1799

According to http://familypedia.wikia.com/wiki/John_Piper_(1773-1851) he is the son of Hugh Piper (1741-1784) and Sarah Chalmers (1750-). There are no details on this site as to the parents on Hugh Piper.

According to http://www.wikitree.com/wiki/Piper-1325 he is
* son of Hugh Piper (a doctor) and Sarah Chalmers
* nephew of Captain John Piper

Hugh Piper, (Son of Magnus Piper and Elizabeth Bours) was born in 1741

Hugh Piper, (son of Hugh Piper and Mary McCrorrie) was born in 1755

The following children have these one or both of these Hugh's as their father
* Thomas Piper born 1768
* Mary Piper born 1770
* Margaret Sloan born 1772
* Captain John Piper [Free Settler "Pitt" 1792] born 1774
* Sarah Allison born 1776
* Hannah Hathorn (Hawthorn) born 1778
* Frances "Fanny" Nathan born 1780
* Lieutenant Hugh Piper, Free Settler 1799 born 1781
* Mary Piper unknown
* Captain John Piper [Free Settler "Pitt" 1792] unknown

It is unlikely that Hugh Piper born 1755 is the father of
* Thomas born 1768 (age 13)
* Mary born 1770 (age 15)
* Margaret born 1772 (age 17)

Can anyone add any supporting documentation on Hugh Piper?

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