Orthodox Anglican Church. His Succession was acceptable although I think his lines were not exclusive to the CEEC. Most groups have intermixed to some degree. For example, my current Archbishop has the James Parker Dees line but he's also tied into Charles Doren and Robert Sherwood Morse. I get kind of irritated when someone who's too lazy to do a minimal amount of research comes along and accuses me of being under a vagante. Those guys do exist but they just have a different way of operating that makes obvious rather quickly that their little groups are of dubious provenance.
If you can get a copy of The Handbook of Denominations in the United States, CEEC has their own page in the sub-section of Anglican and Episcopal churches. To summarize the article, they are described as Pentecostals who adopted liturgical worship forms. Of course, the accuracy of the handbook is not always the best. The article on Continuing Anglicans in the most recent edition makes me shake my head.