SALT LAKE CITY has a population of about 25,000 inhabitants, with a good brick Catholic church and three resident priests. There is also a convent and sister's hospital. The latter is a fine building and looks as big and firm as the mountains themselves, the cost of which is estimated at $70,000. It would be an ornament to the largest city in the United States. * * * * * CHINA AND JAPAN.--The important and successful communications between the Vatican and Pekin have been followed by the opening of similar relations with Japan. The Sovereign Pontiff has written a letter to the Mikado, thanking him for the favor extended to Missionaries and the Mikado replies in most cordial terms, assuring the Pope that he would continue to afford protection to Catholics, and announcing the despatch of a Japanese mission to the Vatican. * * * * * THE will of the Rev. Michael. M. Green, of Newton, Mass., which is on file at the Middlesex Probate Court, bequeaths his house and land on Adams and Washington Streets, Newton, to the Home for Catholic Destitute Children, at Boston; his household furniture to St. Mary's Infant Asylum of Boston: his horse and carriage and garden implements to the Little Sisters of the Poor and the Carney Hospital; his library to Rev. Robert P. Stack in trust to the Catholic Seminary of the Archdiocese of Boston, and to the Church of Our Lady Help of Christians at Newton; his gold watch to the Young Ladies' Sodality of Our Lady Help of Christians at Newton. Rev. Robert P. Stack, of Watertown, is the executor. * * * * * A WELCOME HOME.--The people of St. Augustine's parish, South Boston, gave to their beloved pastor, Father O'Callaghan, on his return from a four months trip to Europe, a welcome that he can never forget. He arrived in Boston on Saturday, Nov. 21, and on Sunday he celebrated High Mass. In the afternoon the pastor was welcomed by the Sunday School and presented with a check for $300. The presentation speech was made by Master Philip Carroll, and feelingly responded to. An address was also made by Rev. James Keegan. In the evening the lecture-room was packed to overflowing at the reception given by the congregation. The welcoming speech was delivered by Judge Joseph D. Fallon. At the conclusion of the address the Judge, on behalf of the congregation, presented Father O'Callaghan with a check for $2,125. Father O'Callaghan was overcome, but responded with emotion, in a fitting manner expressing his gratification at the welcome he had received. Father O'Callaghan is in perfect health and spirits, and expressed himself delighted with his trip. A large number called at the parochial residence, in the evening, to pay their respects. * * * * *