Pocket door latch problem w/photos

I recently had to replace a pocket door latch because the old one broke. I found the exact replacement. I've replaced these before without issue. But now I have a problem.

The latch is held in place by 4 screws. There is not enough wood behind one of the screws for the screw to gain purchase. (In other words, I have a screw loose.) It is circled in red in the first photo. The screw hole is circled in the second photo. You can see light coming through the screw hole.

This is a problem because the inability to tighten that one screw causes the metal plate not to be tight against the door, so it rubs against the inside of the pocket door slot and gets stuck.

I've tried various plastic screw hole menders & wall anchors and none of them work; the screw remains loose. I'd be grateful for any ideas.

 

If the cutout in the door was made too deep, that would explain why the screw has nothing to bite into. You would need to glue in a piece of wood to get the cutout back to the size its supposed to be.

 

Thanks. Do you think I could go metal instead of wood? I was thinking about replacing the wood screw with a bolt, washer, and nut. Or even a tiny toggle bolt if such exist, since I have access to get the toggle inside the cutout without enlarging the hole.

 

Fixed it with bolt, washer, and nut. I naturally didn't have the right sizes at home and had to run to Ace, so I am now 50¢ poorer.