*sighs* Sorry dear but none of Lilianne or her monsters are entangled in the web:
SRD:
These masses must be anchored to two or more solid and diametrically opposed points or else the web collapses upon itself and disappears.
since there is nothing for the web to get stuck upon (and creatures obviously don't count) the web folds in her area and vanishes. No damage to her or the monsters I'm afraid.
But I'm glad you tried, now the tree is on fire and I don't need to set it alight.
Now for the number of your actions:
1) Move action into a different square, since you are entangled that is not a free 5ft step. Since you are still moving within the tree it requires a climb check too and since it is climbing it requires 2 hands. You have alchemists fire and a bow in hands (or did you drop the bow), how do you do that?
2) Move action to get your alchemists fire.
3) Standard action to throw the alchemists fire.
But I'll be living with all those very questionable actions. However, I must insist that you carefully consider what you do next time.