Can I restore app data from iPhone backup?

I recently somehow bricked my iPhone (reboot logo) but I got it working. Trouble is, none of the apps transferred over from the backup.

I had photos saved in an app (family events and other things) and even though I've re-downloaded the app, the photos aren't there.

I stupidly never backed them up so what I'm asking now is there anyway to retrieve the app (and the photos within it) from a backup. I'd really appreciate anyone with a bit of advice.

If you go to your iTunes account you will find a list of purchased apps ( even if the price was 0) you can reinstall them from there.