...based on your above examples the bolded stars should be the primary in each system respectively:
'Dark_Nebula.txt: 2511 Lima M3 V M8 V M6 V M0 V
'Empty_Quarter.txt: 0426 Marhaban G4 V M0 V M2 V M6 V
'Empty_Quarter.txt: 1729 Hemant M0 V M6 V M3 V M7 V
'Solomani_Rim.txt: 1440 Capella G8 III G1 III M1 V M5 V
You could perhaps suggest that the first star is always the star about which the mainworld orbits (whether or not it is the actual system primary).
I think it makes the most sense, in an intuitive way, to just lists the stars in order of appearance. !., 2. ,3., 4. ...and so on.
1. Primary
2. Near Companion
3. Far Companion
4. Farther Companion
5. Even farther companion
6. Farthest Companion
...and so on.
I know of one sextenary star system: Castor/Gemini (Solomani Rim 2339)
http://wiki.travellerrpg.com/Castor_(SR_2339)_(world) )
Shalom,
Maksim-Smelchak.