We all know that the name "Watch Tower" is not unique to the Society. There were papers that used that title prior to the Society. But did you know that the Advent Christian Church (to which Russell affiliated with) published a journal called The Watch Tower?
It began to be published in 1891, I don't know how far it got but it was still being published as late as 1914. While it's not as doctrinal as the Society's Tower, it was still a magazine being published simultaneously with the Society's WT. I only have one issue, and I have not been able to find any others. here is the cover: