Clerical Visit, Freeman's Journal, Sydney, 9 January 1875, p 13, http://nla.gov.au/nla.news-article115479098:

The Roman Catholics of this district (says the Milchester, Northern Queensland, Advocate of December 26th) will be glad to learn than the Rev Father Murray, of Bowen, who has been appointed to the parishes of Bowen and Ravenswood, arrived from Townsville, by Cobb and Co's coach during the week. The rev gentleman celebrates mass at the Just-in-Time Chapel on Sunday next at 10 o'clock a m, and proceeds to Ravenswood in the early part of next week. [A late paper states that the Rev Father Murray, after having been detained there over a week, by the excessive rains, took his departure on Monday for Ravenswood.]

---

Denis M. Long, Pioneer and Early Priests, Archdiocese of Brisbane, Deceased or retired by 1929, 2021, p 19:
Father Michael Joseph Murray

Two ordinations to priesthood in Brisbane took place in the old St Stephen's Church on Sunday 8 June 1873. Ordained on that day were Fr Thomas O'Brien and Fr Michael Joseph Murray. They had been ordained deacons two days previously.(1)

Michael Murray and Thomas O'Brien, accompanied by Fr William Hely, left London aboard the Ramsay, on March 13 1871, to arrive in Brisbane on 28 June. Murray was 23 years of age.(2) Murray and O'Brien were students for the priesthood who were yet to complete their studies. While O'Brien had been at All Hallows, Murray is not on their records but was a student at Clonliffe College to which O'Brien moved after some time at All Hallows. In Brisbane they completed their priestly education at St Killian's College in South Brisbane. One of their teachers there was Julian Tennison-Woods.(3)

Fr Denis Martin in his well-researched The Foundation of the Catholic Church in Queensland quotes the Brisbane Courier's report of the ceremony:

An ordination service was held at 11 o'clock yesterday at St Stephen's Roman Catholic Church for the purpose of ordaining as priests Messrs Murray and O'Brien. The newly ordained priests have been pursuing their studies for ministry assiduously for the last three years and Friday last received deacon's orders. The ordination service yesterday was conducted with all the imposing ceremonial of the Roman Catholic Church and attracted to St Stephen's a very large congregation. In fact a very large number of persons were unable to obtain standing room. The ordination was performed by Right Rev Dr Quinn who celebrated Pontifical High Mass. The very Rev Dr Cani acted as assistant priest, the Rev Fr Haly (sic) as deacon and the Rev Father Dunham as sub-deacon; Father O'Reilly also took part in the service. After the candidates had received from the hands of the Bishop the power of celebrating Mass, the Rev E (sic) T Woods preached the ordination sermon, taking for his text the words, 'Thou art a priest forever according to the order of Melchizedek'. The Rev gentleman delivered a very able and eloquent discourse on the dignity and principal offices of the priesthood. On the conclusion of the sermon, the formal Mass prescribed by the Roman Catholic ceremonial at the ordination of priests, was continued. The concluding part of the service comprised the reception by the candidates of the power of giving absolution and the making of the vow of obedience to the Bishop. The service occupied over two hours and a half.(4)

Fr O'Brien was appointed as assistant to the aging Dean Tissot in Maryborough where he became the second parish-in-charge of that mission when Dean Tissot retired to his native France. Fr Murray's ministry was mainly in the north of the colony. Fr O'Brien died at 35 years of age, in 1878. Father Murray had died at his parents' home in Ireland two years previously.

According to Pugh's Almanac, Fr Michael Murray served in Brisbane, Bowen and Ravenswood, before returning to Ireland.

As Fr Denis Martin informs us:

Less is known of Fr Murray: Michael Joseph Murray came from Clonliffe (Dublin seminary) in 1871. He died on 10 April 1876, 'at his parents' home' in Ireland.(5)

Footnotes
1. Denis W Martin, The Foundation of the Catholic Church in Queensland, 1988 edition, p. 165.
2. Queensland State Archives, Immigration Records
3. Maryborough Chronicle, Wide Bay and Burnett Advertiser, 24 Mar 1881, p. 2.
4. Brisbane Courier, 9 Jun 1873, p. 2.
5. Denis W Martin, op. cit. p. 184, footnote 17.