This sounds like the United Pentecostal Church, of which I was a baptized member for about a year while I lived in San Francisco. There are other “oneness” branches of pentecostalism, so I’ve been told, but I am not aware of them. I am not thoroughly familiar with all of UPC teachings with regard to “oneness” but, it is very likely that those teachings are extremely simplistic. UPC does not accept as valid any baptism done in the name of Father, Son, and Holy Ghost, so converts are required to be re-baptized. They also do not accept anything less than a full immersion baptism. Their baptismal formula is “In the name of Jesus” as they regard all NT baptisms to have been performed in that manner. They claim that the “Baptism of the Holy Ghost” is a requirement for salvation, and that the sign of it is a public manifestation of tongues. They issue a baptismal certificate for this Holy Ghost Baptism, once it has been attested to by witnesses. They regard the idea of Trinity to be a perversion of the Gospel foisted upon the world by the evil RC Church. They tend to be decidedly anti-Catholic. They also have some interesting practices with regard to clothing. The women generally do not cut their hair, but rather wear it in public tied up in a big bun. Many of the older women have hair length well below their waists. They wear dresses that cover every inch of skin except the hands and faces. The men will not wear beards or mustaches, as these are a sign of “vanity.” The denomination appears to be dying out. I recently read that their membership is in decline. Last spring I visited a local UPC Wednesday evening church service and noticed that it was very thinly attended. BTW I do NOT claim to be an authority on UPC, so I may have some of this a little wrong. UPC people I’ve known are deeply faithful people, hard-working, love the Lord, and live their faith out in their daily lives in very sacrificial and loving ways. They just tend to be what I call “firebreathers” as, when they worship in church, they give definition to the term “holyroller.”