This was a fun puzzle, I'm looking forward to what you do with this idea.
Some constructive feedback and ideas:
I think giving a bottom or side tray to put tiles in might help with trying to move multiple tiles around to a spot off camera, or organizing a pile.
Maybe also instead of making the table fully scroll-able, cutting it up into screens you can go up/down/left/right on might make navigation easier.
Maybe you have to make matches based on visual genetics, in a way like that board game 'Guess Who'
Instead of always having who someone's parents are, there is an unknown but you can work it from parents with an unknown child both having red hair, and an unknown person having red hair. Or you can be given some old family photos to go off of, or some legal document showing a name change, or only having initials.