Several different organizations have operated and continue to operate under the name "Universal Church". In fact, it was the original name of the Roman Catholic Church in the second century. The term "Catholic" is itself derived from the Greek word "katholikos" meaning "universal".
The name is so heavily utilized by such a large collection of organizations that it can be confusing to determine which organization someone is referencing when they use it. Varyingly, the name is still used by the Christian Church, the Roman Catholic Church, the Ecumenical Movement, The Unitarian Universalist Church, the Universalist Church, and the Universal Life Church.