The GM and Fate Points:
GMs, you also get to use fate points, but the rules are a little bit
different than the rules for players.
When you award players fate points for compels or concession, they
come out of an unlimited pool you have for doing so—you don’t have to
worry about running out of fate points to award, and you always get to
compel for free.
The NPCs under your control are not so lucky. They have a limited pool
of fate points you get to use on their behalf. Whenever a scene
starts, you get one fate point for every PC in that scene. You can use
these points on behalf of any NPC you want, but you can get more in
that scene if they take a compel, like PCs do.
Emphasis mine. So the GM has an unlimited supply of fate points to award for compels, and this is separate from the shared pool that NPCs use (which is for invoking aspects). Regarding your assumption about named NPCs having their own fate point pool, I don't remember the SRD covering that. As the last quoted paragraph states, the general rule is to treat NPCs as sharing a pool.