I dont know if this has come up in your search but I have James Waudesford Hennessy in my family tree.. Happy to send you my tree that I have done up if it is a relation..
In 1862 John Quigley a store keeper and Isabella Neely had a daughter Jane Maria Quigley born in Tanalgh, Derry, Ireland.
Jane Migrated to Australia on the 15 June 1881 as a 16 year old on the Scottish Knight. The vessel landed in Townsville and took 3months with 292 people on board. Jane’s fare was a fully paid fare.
Jane met James Waudesford Hennessy who was born in Conahy Kilkenny Ireland, his parents Patrick Waudesford Hennessy a carpenter and Alice Josephine Haydon.
Jane and James married on the 1st June 1883 at Burke, on Richmond Downs. Jane was a servant at Richmond Downs and James a Carpenter.
A daughter was born at Richmond Downs on 29th March 1884, Alicia Josephine Hennessy.
James passed away in July 1884, leaving behind his new born baby who was only a couple of months old.
On the 4th Nov 1885 Jane married Robert Skien who was a butcher and one month later their first daughter Annie Isabella Skien was born, 16th Dec 1885.