Major Houses of Hess’zrin and their Matriarchs, in order of precedence

1. Selanzukiye (Honneth, High Priestess): holds rights to half of all water in Hess’zrin, Keepers of the Ways (tariffs on travel)
2. Zulzeroon (Akadina): holds rights to one quarter of all water in Hess’zrin, largest land owner
3. Cin-Moreigh (Eilador): holds rights to one tenth of all water in Hess’zrin, foremost instructors at temple of Lloth
4. Maelrubhe (Ilbrun): claims rights to one twentieth of all water in Hess’zrin (contested with Ash’alrir), largest food production
5. Ash’alrir (Aizhelann): claims rights to one twentieth of all water in Hess’zrin (contested with Maelrubhe), foremost instructors at school of wizardry
6. Momas (Rood): holds the only foundry and smithy in Hess’zrin
7. Plethzin (Arsene): holds the Mint and Exchange
8. Reodhaigh (Bailit): vast trade network, importers of salts and luxuries

Minor Houses of Hess’zrin and their Matrons

1. Shalzress (Marilith): renowned for military prowess, foremost instructors at military academy
2. Aral-Norzin (Zraka): slave breeders and traders
3. Sussunjakar (Mahniyara): most populous House
4. Suzmerith (Cerinith): jewelers and exotic metalsmiths
5. Halanor (Shuluz): Hess’zrin’s only miners
6. Vaelaman (Ahel’hen): alchemists, apothecaries, and poisoners
7. Teth’chruz (Verilin): artists and furniture makers
8. Ziluzun (Phaerin): clothiers and milliners
9. Sembreth (Vorz’elene): livestock breeders
10. Eilonnye (Eilon): stonemasons
11. Zeltokir (Mrakmana): military house
12. Tseth’tsuran (Zinafer): cosmetics and perfumes
13. Urazhnee (Suluth): confectioners
14. Nyanis (Niknevin): reliably produces capable priestesses
15. Brin-Ur (Ezmeneth): weavers

As per your consensus, members of a House with legitimate birth style themselves “al”, while those with illegitimate birth, indirect lineage, or affiliation style themselves “do”. For example, Azimuth al Zulzeroon is a legitimate son of Matriarch Akadina al Zulzeroon. On the other hand, Ten’zrin do Brin-Ur is a grubby peasant.