The Phrag isn't very similar to Memoria Dick Clements (sargentianum x besseae) at all, which is usually seen in solid red colors with much broader petals. If there is any besseae there it would have to be 2 or 3 generations back. It is much more similar to Sorcerer's Apprentice (longifolium x sargentianum) but I doubt it is a primary hybrid. It isn't likely that a precise ID can be made.
I think the Phrag might be Olaf Gruss which is a primary hybrid of besseae and pearcei. If not, I think it definitely has both parents in its background, probably only one more, maybe hirtzii.