Most service points of Western Union work in the time convenient for customers throughout the week and throughout the year. The Western Union Company is a financial services and communications company based in the United States. The first offices of company were located in the Reynolds Arcade building in Rochester, New York. The sign above the main entrance to the building - In 1856, in 7 years after the foundation of New York State Printing Telegraph Company, the company changed its name to Western Union Telegraph Company.