Am I correct that the following is an error, and, if so, of what type? (I'm almost positive I once knew the term to describe this increasingly common construction and that it was considered ungrammatical.)
I believe the sentence,
While on tour, the children lived with Georgiana's mother in Philadelphia,
is meant to convey:
While the parents were on tour, the children lived with Georgiana's mother in Philadelphia.
Is the following sentence an error of the same type, a different type, or not an error at all?
As a roller coaster lover, that one was surprisingly boring,
which seems to claim the ride is a roller coaster lover. Instead, what was actually meant was something like:
As a roller coaster lover, I thought that one was surprisingly boring.
I know that in some acceptable constructions certain words are understood. Is that the case in either or both of my examples or in similar ones?
I realize this may be a duplicate question, but, if so, I was unable to come up with the appropriate search terms to discover it. (Which also explains my inability to come up with a good title for this question.)