Hello,
Fortunately the rules will help all these questions.
1. In the first case, the simple answer is "yes." But there are a few issues to consider which make this issue more local and more focused than merely drinking a magic potion that restores hit points.
i) The Scale of play when the magic-casting trollbabe acts. Can she actually affect a group of that size? If the stated action, in this case a spell, is above her Scale, then the GM must narrate a diminished version of it. It would be perhaps a little too easy to use this as an excuse not to resurrect the trollbabe, who is, after all, only one person and so automatically within the Scale.
ii) Given a successful resolution, the GM narrates. The rules state that the GM must respect the stated action, so it would be against the rules for him or her to say, "You succeed, but she's a zombie," or something else that negates the point of the action. So yes, the attempt to resurrect the dead trollbabe would work. However, I am overlooking a few things before we get to the successful narration.
iii) What sort of conflict is involved? The player is free to say: "I cast a spell to resurrect her." The GM is free to say, "Conflict!"
I must stress that Trollbabe is not a game written with pre-set barriers and conflicts in mind. It is a game which says, "If you want to resurrect a dead player-character, then try ... but how do you do it?" It also says, to the GM, "This player is legitimately trying to resurrect a dead player-character. What kind of conflict do you think that entails?" The answers to these questions matter greatly, and I also must emphasize, not here, in our chairs, looking at a computer screen and talking about what we "would" do, but there, in play, while you play, in the context of that game and those characters and that situation.
That point really sets the stage and establishes the issues that this particular group wants to bring to the (perhaps) highly significant act of resurrecting a dead character. Keep in mind, too, that even if the act is successful, further conflicts and consequences may certainly be brought into play because of it - again, assuming that the person who calls such conflicts feels, personally, that escaping death should not be easy.
2. In the second case, no one may start an adventure off the map. This is not a trivial rule. It is one of most important rules of the game. Please do not consider it a minor detail.
The rules also explicitly state that metaphysical concerns like gods (and which includes such things as an afterlife, I think it's not difficult to see that) may not be established or assumed for this game.
I chose to include both of the above rules for many reasons, and their effects can combine in many ways. One way is answering your hypothetical question extremely easily: no.
Please let me know if my answers have helped.
Best, Ron