Well... I hate to be again a bearer of "mislabeled" news, but I don't think your Redskin is actually a Redskin.
Redskin actually colors very poorly. It has lots of yellow on the skin with a slight red blush. It colors so poorly that sometimes even when it's soft on the tree, it will still have some green around the stem end.
Here is a pretty accurate pic of the peach (imo) from Clemson.
The good news is your peaches are much prettier. And I bet they taste wonderful, whatever they are(That's why I was curious and asked the variety.)