A woman in a black hooded sweatshirt walking with a large dog.
A woman walking her dog before leaving to work
WE have no idea if this is her dog or not. she could be walking someone else's dog. We have no idea if she is leaving for work, she might not be going anywhere.
Walking with a large dog does not imply that the dog belongs to her.  It also does not imply that she is walking the dog before leaving to work.
Just because a woman in a black hooded sweatshirt is walking with a large dog does not mean she is leaving to work.