Q: "A girl is running on a desert path." Does this mean that "The girl runs in the desert."?
A: yes

Q: "a little boy with a ball cap on his head and sunglasses in one hand is writing on a white banner with lots of signatures." Does this mean that "A woman signs a cast."?
A: no

Q: "A person walking in the beach, while the sun sets." Does this mean that "The person is getting exercise."?
A: it is not possible to tell

Q: "A lady is taking a picture of something in the distance." Does this mean that "a lady looks in the distance"?
A:
yes