Huck's vision of Providence is that it is a fairly benevolent place with a God who is willing to help a person who's in need of help if they are willing to accept it. There apparently have been times when Huck has interfered with Providence's workings, because he comments that "Providence always did put the right words in my mouth, if I left it alone."
Miss Watson's vision of Providence has more to do with angels playing harps and singing all day long. She interprets Providence as being an extremely difficult place to get into, however, due to the sinful nature of most people. Miss Watson would not agree with Huck's interpretation of Providence because she would feel it was not nearly strict enough in its expectations of those receiving blessings and comfort.
No, Miss Watson would not agree with Huck's version of God's Providence.
Miss Watson's interpretation of Providence is more closely related to what most people would think about heaven. It's beautiful and peaceful and amazing.
Sometimes the widow would take me one side and talk about Providence in a way to make a body’s mouth water; but maybe next day Miss Watson would take hold and knock it all down again.
Miss Watson's Providence is also hard to come by because people are sinful, and God doesn't just hand out Providence and his blessings on somebody who happens to be randomly in need of something good. That is why Miss Watson would disagree with Huck's version of Providence.
Huck sees Providence as something that is freely given to anybody and everybody who is open to it. Huck's version assumes a loving and benevolent God in all situations who loves to help as long as the person is willing to let the divine help happen. That's what Huck does in chapter 32. He needs a story to explain his present situation, and he decides to let Providence help him with the story.
I went right along, not fixing up any particular plan, but just trusting to Providence to put the right words in my mouth when the time come; for I’d noticed that Providence always did put the right words in my mouth if I left it alone.