First off, let's call the sprockets on the crank rings and the sprockets on the freewheel cogs. That will eliminate a lot of confusion.
So, using that terminology, is the chain getting stuck when it leaves the small ring or the small cog? I would be surprised if it were the small ring.
If it is the small cog, it is most likely that your small cog is to close to the drive side chain stay. Did you do anything to the wheel hub or did you change from a five cog freewheel to a six cog one?
Of course, I am basing my attempt to help on your description and it is somewhat confusing. As others have suggested, good clear pictures often times produce much better answers from the members of the forum.
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