The participial phrase here is A, sitting patiently. Because all other answers are not correct. In the waiting room is adverbial phrase for place, my mother read is just a regular sentence, not a phrase, as well as read a magazine. So the answer is A, sitting patiently, as sitting is present participle.
Noun phrase, because a noun is the object.
Hope that helps :)
He was born in front of his father, his mother died at birth, and he became a minister and married his sister at the wedding ceremony :p
The answer is B because nurse has her in suprise