Freeman's Journal, Sydney, 30 September 1882, p 15, http://nla.gov.au/nla.news-article111317645:

Our West Maitland correspondent writes:—[...] His Lordship starts on Saturday for an extended tour throughout the western portion of his diocese. He will be at Quirindi on Sunday, and at Coonabaraban, Coonamble, and Walgett, on the 7th, 14th, and 21st October. He will not return before November. The Rev. T. O'Farrell, C.SS.R., left Singleton on Monday for Gunnedah. He will proceed with the Very Rev. T. English to the various places to be visited by his Lordship and give retreats in advance. The Catholics of these places will be able to form some idea of the benefit his Lordship has conferred on the diocese by founding a branch in it of the Redemptorists. [...]

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The Horsham Times, 1 October 1889, p 2, http://nla.gov.au/nla.news-article72878726:

The announcement was made last Sunday, by Father O'Brien, the newly appointed priest in charge of the Horsham mission, that the Redemptorist Fathers would commence a special Mission at Horsham on the 13th inst. Father O'Farrell, one of the most eloquent of pulpit orators, who is most enthusiastically spoken of by all who have heard him will be of the number to be engaged in this work which will occupy a fortnight;. There will be three services daily at the Roman Catholic Church, and the mission will conclude by Dr. James Moore, Bishop of Ballarat, administering the rite of confirmation to a large number of candidates who have been prepared by the Rev. Father Hogan.

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Catholic Notes, Freeman's Journal, Sydney, 4 July 1912, p 21, http://nla.gov.au/nla.news-article108033157:

Though no improvement has taken place in the state of the health of the Very Rev. T. O'Farrell, C.SS.R., who left for Ireland last September, on which occasion he was given an enthusiastic farewell by all that is best in Church and State in Sydney, it is consoling to learn that there are grounds for hope that one to whom the Church in this country owes so much will be restored to normal health.

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Obituary. Very Rev. T. O'Farrell, C.SS.R. Member of the First Band of Redemptorists, Freeman's Journal, Sydney, 31 October 1912, p 24, http://nla.gov.au/nla.news-article108034256:

A cablegram from Limerick reached Mount Alphonsus, Waratah, and another the 'Freeman,' on Tuesday, announcing the death of the Very Rev. T. O'Farrell, one of the pioneers, and for many years Superior, of the Redemptorist Order in Australia. His death was not unexpected, as he had been sinking for months past. He died at the age of 77 years, at the house of his Order, St. Patrick's, Esker, Athenry, Co. Galway.

Father O'Farrell was one of the four members of the devoted band of Redemptorists brought to Australia by the late Dr. Murray (Bishop of Maitland). His companions were the Very Rev. Edmund Vaughan (Superior), of Clapham, London, and late Rector of the Redemptorist Monastery, Perth, Scotland; Rev. Fathers Hegarty (of Perth) and Halson (of Liverpool, England). The missionaries, with his Lordship, landed in Sydney on March 30, 1882, and received a cordial welcome from the late Archbishop Vaughan. Father O'Farrell commenced his labours in the diocese of Maitland on Sunday, April 16, 1882, with a mission in Lambton and Wallsend, and his fellow-priests were enthusiastically welcomed at Singleton a fortnight later, at a public meeting over which his Lordship presided. It was here that the first house of this great missionary Order was established, in May of the same year.

In August, 1887, the head house of the Redemptorists was transferred from Singleton to Waratah, from which centre radiated the divine light of faith all over Australia, through the incessant toll of the missionaries. Foremost among these was Father O'Farrell. His reputation as an orator, and his unceasing vigilance in the service of the Lord, won renown from town to town, and thousands flocked to hear the gifted Redemptorist when it was announced that he was on conduct a mission. Thus he laboured on for many years. Two years after the foundation of the Order at St. Patrick's, Singleton, Father O'Farrell, with other members of the zealous band of Redemptorists, gave the first mission in St. Mary's parish, St. Kilda, Victoria, when Bishop Corbett was then parish priest.

In 1888 the late Bishop of Balliarat invited Father O'Farrell to found a house of the Order there. The Fathers began their work in a very unpretentious building, which soon saw a splendid missionary house built on Lake Wendouree.

In the evening of his life the stress of former hardships made its call on the physical and mental resources, and two years ago Father O'Farrell received a slight stroke of paralysis. After being treated in St. Vincent's Hospital, Sydney, he recovered somewhat, and later visited New Zealand. The fire of missionary zeal still burned brightly in his breast, and Father O'Farrell took up the work of his life. In February, 1911, he returned to Sydney, and spent some time at the old house at Waratah. Later in the year he decided to take a health trip to his native land, and, in company with Father McDermott, C.SS.R., he left Adelaide in July of last year for his old home in Limerick, where he remained until he was called to his eternal reward.—R.I.P.

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T.W. Campbell, The Priests of the Diocese of Armidale: A Necrology, Braddon ACT, 2005:
O'Farrell, F

Listed in E J Doody, Acta et Statuta 1951, Appendix VI, Obituary List, in the section headed 'supplementary list of priests who have also worked in the diocese', but with no details other than the period he reputedly worked in the diocese, in this case 1882.
No details are held about a priest by this name or somebody closely resembling this name living and working in New South Wales at about this time. The source that resulted in Bishop Doody's listing is unknown. A Fr Thomas O'Farrell CSsR gave missions in Gunnedah and Coonabarabran in September 1882, and Gunnedah in June 1884.
(Sources: FJ 7 Oct 1882 p 15, 21 Jun 1884 p 15).

(Reproduced by permission of Tom Campbell.)