I remember I was taught in school that if the verb follows
while its subject may not share the same suject with the main clause. For illustration, in the following example:
While John was sleeping last night, someone stole his car.
I can paraphrase it into this form:
John's car(or the car of John) was stolen, while sleeping last night.
I don't know if it would be native but it's just an instantiation. The noun premodifier is the subject but for the following clause the subject is the noun adjunct of the subject in the main clause.
Am I right? I mean can the structure of the sentence be that robust? What is the related grammar?