I installed a rocking horse for our kids. (saved from a neighbour's trash).

The black rubber saddle on it looks weathered as can be seen in the photos below.

I am looking for a way to make it look better (cleaning it didn't help, it's in the rubber).
Obviously I can't use paint that can stain clothes or skin since children will sit on it. 

Any ideas? I was thinking whether there is any kind of paint that gets absorbed by the rubber and can't go out (?). Or some special rubber treatment oil? Googling around myself didn't help me.

[![enter image description here](https://i.stack.imgur.com/w8Xaw.jpg)](https://i.stack.imgur.com/w8Xaw.jpg)

[![enter image description here](https://i.stack.imgur.com/LMCw0.jpg)](https://i.stack.imgur.com/LMCw0.jpg)