You're more likely to get a positive ID on the Antique Roses forum. This one looks to be an oldie.

I tried over there. Got one response from a lovely person (who claims not to be an expert) suggesting Penelope, Paul's Himalayan Musk, or Noisette. It's definitely pink, not salmon, plus it's not a shrub so Penelope is out. It doesn't seem to be pink enough for Paul's Himalayan Musk, at least from the photos I've seen. It looks like there are a lot of types of Noisette though, so that's definitely an idea.

The Antique Roses forum seems to be fairly dead, and the Name That Rose one is completely dead. But maybe I've been spoiled by the Name That Plant forum. :)

I just gave away a Paul's Himalayan Musk and I know it is not that rose. It is not the bloom shape or color at all. Plus Paul is what I call a "house eater." That thing gets huge and will cover entire trees, houses, etc.

Could be Mary Washington but the leaf shape doesn't quite seem to match.

I'm not sure exactly how big it is because it's growing out through a gigantic hydrangea on a very steep slope covered in fallen trees and branches. But it has long flexible canes. I wouldn't be surprised if they were 12' or more - I haven't been able to see where they go into the ground. The hydrangea is acting like a support for it. Some branches are completely horizontal.

I found a few volunteer baby roses downslope from it yesterday and eventually realized that a pair of them were growing up out of a long cane that had been flattened by a falling tree and may reach back to the mother plant. It has started rooting along its length into the ground. I didn't know you could layer roses. I foresee I'm going to learn a lot about roses this summer. :)

I either hit a lull over there or I've stumped everyone. Ha! The white one by far looks like the oldest rose I've found so far, so hopefully it's the most obscure one. Although my yellow rose with the maroon stems seems to be a puzzle too. At this point I almost dream of hitting a nice boring common rose. We do seem to have inherited a wide variety and they all seem to be different!

I went back and checked and it definitely layers easily. Look what I dug up! It has quite substantial roots, as you can see. I'm planning to plant it near the house so I can enjoy the fragrance, if I can find room for it - or control it.

How about a wichurania hybrid as your rose appears to have very few thorns.

Okay, I'll take a guess... Prosperity?

Oh, interesting. I'm finding it a bit confusing because there seems to be more than one white rose with the name Prosperity. One of them looks quite like mine though.

The scent is so beautiful - if I knew it was a rebloomer I'd have to learn how to propagate roses just so I could put a few along the wood fence near my house.

I've revised my size estimate up to 25' after doing some more digging around. It's throwing out canes in every direction. This rose is huge!

Must..see... leaves. Doing IDs by flowering is just going to frustrate everybody

So I see what looks like a climbing sport of Marie Pavie, however who knows if this is even reasonable. Does the rose have multiflora stipules, wichurana stipules, combination stipules, or something else?

The bottom photo in the first post shows the stem and leaves. I've cropped in on a couple photos to show the base of the leaves for you here. Let me know what other photos you need and I'll be happy to hike up and get them.