Put some in the fridge and bring them to the Home Orchard Society's All About Fruit show on October 18, 19 in Canby Oregon at the Clackamas County fairgrounds where there will be an expert apple ID team and several hundred varieties of apples to see and taste.

That's several hundred miles round trip..... Sure would be easier and more ecological for the Orchard Society to have a "video link" to help folks who aren't local. I've attached another photo of the apple I'm trying to identify. Using an online apple identifier, I think it might be William's Pride.

What do you think?

It's a beautiful apple, especially cut. Do you have pictures with the seeds intact and of the calyx end?

Based on this site it looks pretty similar to William's pride, but the light colored lenticels seem a lot more prominent on your apples.

Also the site says that William's pride is scab resistant. It says yellow/pale pink/red flesh. Your's looks pretty white in the picture plus red.

Here is a link that might be useful: Apple Name: Apple variety identification

I thought it might be an Albert Etter variety like pink pearl at first. I knew he had many red fleshed hybrid results but only pink pearl was originally propagated. Another nursery piggybacked on his experiments but the apples pictured still don't look like yours. The article references red veining (verses red flesh) which I think your apple displays. Perhaps it might help narrow the results:

Here is a link that might be useful: Etter red fleshed varieties for sale.

I decided to have a look on the net and I found this picture (and a great website too)

Here is a link that might be useful: William's Pride apple identification