Nazoraean is the designation given to a first century offshoot of Nazarene Judaism by Epiphanius. Their distinguishing characteristics are that they believed Jesus to have been a Kohan and a Nazirite. Filaster uses the term Nazorei to refer to the Nasoraeans which seems to have been the post-Jesus continuation of that sect. Theodoret likewise describes them (Nazaraeans) as nothing more than simply a post-Christian continuation fo the pre-Christian Nasoraeans.
The Gospel of the Ebionites is a text sharing an affinity with the Gospel of the Hebrews and the Gospel of the Nazoraeans.
Epiphanius, whose writing is the main source for finding fragments of the Gospel of the Ebionites, emphasises the distinction between the Gospel of the Ebionites and that of the Nazoraeans.
According to Epiphanius, the Nazoraeans were considered part of the Christian orthodoxy, whereas the Ebionites were considered heretics, and so it is clear that there must have been theological and doctrinal differences between the two, related, Gospels.
It is not clear however, exactly why the Sabomenoi of the Roman Empire decided to disregard the position of their Jewish half and eventually abandoned Halakhah forcing its Jewish half to do likewise though since many Sabomenoi were converted from among the Nasaraioi, the simplest answer could be that old habits died hard.
This event in 333CE caused its more orthodox Sabomenoi to flee with the Jewish Nazoraeans beyond the reach of the empire to the Arabah where they continued to exist long enough to have an influence on early Islam before it was reformed by Caliph Usman.
At this point under the sword of the rapidly expanding Caliphate it seems the last members of the sect were gradually assimilated into Islam or sects of Nasaraioi.