I would like to know what it would take for me to customize the handling for disambiguation.

For instance, in a case where there two objects which share the same alias (or "other name"),
with one loose in the room and the other already being carried by the player,
I would like to make the game perform certain assumptions based on the verb being applied.
Such as "for take: assume object with parent (room),"
or "for throw: assume object with parent (player)."

I don't need a detailed explanation of how to do that, just a general idea what would be involved.

I think you have to change the core functions in corecommand.aslx