If someone had paid for my good friend to do a "sitting" for a "photo and frame" for me, for my birthday (which is what you said in your original post) then no, I would not have sent copies to my family. Particularly as you say that your brother was to get the framed photo as a "surprise" at his BBQ party.

As the recipient, I would have assumed that the person who organised and paid for it all (ie: you) would have arranged to receive copies of the photos already, as generally, the purchaser would be shown proofs of the pictures and would then select the ones they want. As you say in your original post the photographer was to give your mum a smaller copy of the photo, one would imagine that any other expectation you would have about what other images you may receive would have been discussed when you negotiated cost, etc, at the time of making your order.

As the recipient, I would have also assumed that you, the giver, would have made specific arrangements about what was going to happen with the sitting, selecting, and provision of photos.

I do not think it would have crossed my mind that the giver would have been annoyed about me (a sibling receiving a gift for my 50th birthday) not having posted photos in the timelines expected by you - or at all.

Personally, you have given someone a present. I am not sure why you are annoyed with your brother not meeting your expectations which from the sounds of things were not discussed with - let alone agreed to by - him.

If you wanted copies etc, that should have been agreed with the photographer, and factored into the costing. If you're unhappy with only being sent a copy on facebook instead of the print which you apparently were originally told you'd get, then take that up with the photographer.

If you are happy (which you end your post with) then great. Next time, make your expectations clear in advance, and try not to have expectations about what others will or won't do with gifts. Gifts with conditions and expectations don't often end happily.