Would Katherine - and, by extension, Alaric - have been eligible for the pre-existing Steiner Bloodname, akin to how Phelan was eligible for the Ward Bloodname back during the days of Operation REVIVAL?
While the Cloud Cobras have not been heard of since the Wars of Reaving Supplemental File, there are (if I recall) a few Bloodnames in common use by both the Homeworld Clans and by the Clans of the Inner Sphere and near Periphery (and by the Goliath Scorpions) at last reporting. So it might not have been entirely without precedent for the Cobras' Steiner Bloodname to be called upon as a basis for use by the Wolves, had they wished to do so here.
1. Possible but we don't know enough I think.
The Ruling Steiner line above Katrina would have have to be a descendant of the original Bloodnamed like Phelan was.
I don't know enough about Steiner lineage to know if the 1st Bloonamed is one of Katrina's ancestors.
The Maternal part works since Katie, Melissa, Katrina are females the way Phelan had to be from Salome Ward & she was her own 3rd cousin or something like that so she had a link on both parents side or something from the fluff.
2. But really it doesn't matter, Katie didn't need a Blood Name to be allowed to be the "Gene-Father" of Alaric as I mentioned previously.
You can have a Non-Bloodnamed be a donor, albeit, "
rarely". It is legal & completely possible to do so in the clans.