a. I saw the girl singing on the stage.
b. I looked at the girl singing on the stage.
Does (a) mean "I saw the girl who was singing on the stage" or "I saw a scene where the girl was singing on the stage" or either (depending on context)?
Similarly, does (b) mean "I looked at the girl who was singing on the stage" or "I looked at a scene where the girl was singing on the stage" or either (depending on context)?
In case the questions are unclear, the above questions can be rephrased in terms of syntax as follows:
In (a), is singing on the stage complement of the noun girl, thereby constituting the NP the girl singing on the stage, or is it complement of the verb saw, or is it either (depending on context)?
Similarly, in (b), is singing on the stage complement of the noun girl, thereby constituting the NP the girl singing on the stage, or is it complement of the verb looked at, or is it either (depending on context)?