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I don't give out the original photos because they can be confusing. But they insisted a lot and I agreed to give them a part of the originals and what happened was that they thought I was giving them less photos than I had agreed, but they really got confused and maintained their position proudly.

That sounds like a classic case of the Customer doesn't Know Best. Sorry you had the conflict and misunderstandings. Seems like it comes with the job sometimes. Hopefully they liked the results enough to do some more shoots because these turned out so good. But, I would understand if you wanted to avoid another experience of this nature. Either way... you did a great job.