As to whether or not the balrog was under the direct control is debatable and a case could be made for both sides. Just because Sauron is now the Dark Lord does not automatically place the balrog under his authority. It's possible that the balrog would acknowledge Sauron as Morgoth's heir, but not definite. From 'Myths Transformed':
Quote:
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Sauron is just another (if greater) agent. Orcs can rebel against him without losing their own irremedable allegiance to evil (Morgoth).
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That quote means *even* orcs could disobey Sauron, so a balrog definitely could. That doesn't necessarily mean he would have. Anyway, the most likely scenario (as it seems to me) is that Sauron left the balrog in Moria as a pawn A) to prevent dwarves from reinhabiting Moria and B) possibly to combat Rivendell or Lorien when his armies began to move. This is never given the chance (as Sauron fell before he expected to, I'd imagine) to be carried out, so we don't know.
[ February 13, 2003: Message edited by: Legolas ]