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From some Goggle searches, the I797 seems to relate to work visas, not immigration visas.
The 171H is issued upon approval of your I600A and is your approval for international adoption. The I600A is being replaced in some instances now with the I800A if it is a Hague Country.
Hope that helps!
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Hmmm . . . . Interesting. A Google search for I797 only turned up things about work visas. I know that some states do have another form they issue instead of a 171H. Can't remember for the life of me what it is, but it is the same thing as a 171H. Maybe that is it. You might try posting on the Guat board. Someone there is sure to know. I would double check on if that country you are adopting from in Hague though. Just to be sure you have the right paperwork going in. Especially if you origionally filed before the US became Hague.
Good luck!