I'm not sure if there is any more about Harcesis after about 1/2 way through season 5 (where I am up to), but...
What has actually been said about Harcesis? They seem to be the human off-spring of blended symbiote-hosts.
Heru'ur could be the symbiote son of symbiote Ra and Hathor, raised in a Jaffa and then blended "normally". In the same way that dozens if not hundreds of Goa'uld are... though there are other options...
They don't really go into too much detail about normal Goa'uld reproduction... except perhaps in Hathor. They suggest the hosts are involved (I don't think we need to spell it out

- watch the episode

) - but of course this will be a change since they started taking hosts. The unblended symbiotes must also have a method - presumably similar to reptiles. Hathor showed that dozens of spawn are produced, which would be consistent with reptiles, can we assume the same would be true of the unblended symbiote? I believe so.
The difference then would be whether the "father" is a blended or unblended human, and whether it is the female host or symbiote who becomes pregnant. Four options, two we have seen ("normal" reproduction as in Hathor and that resulting in Harcesis as in Secrets), leaving two we haven't seen. This means we have not yet seen blended father and pregnancy in the female symbiote - would this also be harcesis? Safe to say we all know about the fourth option, unblended male and unblended female! :blush:
[I may have to either move this, or start the same discussion in Technical or Aliens]