^Well there you go. With Liara & Garrus in your squad, Ash is probably next in line, or indeed, first in line. I'd be willing to bet the order is pre-set and after those three it goes Tali, EDI, James then Javik.
Probably a similar syste for the name plaque scene. The LI is the default, but failing that it's whoever is still alive in a given order of priority. Of course the only way to test it is to try a save file in which Ash, Liara & Garrus are dead.