Fritz,
Anything was possible... Bruce provide sound advice to invest in and read the Parker Story. "Blemished" copies are available from The Double Gun Journal for a bit less than $200.
Many types of Damascus were available from Parker. Since those were all handmade all of a certain type will not be identical.
Twist (technically not Damascus) barrels were used on lower grade guns.
Fine Damascus barrels were used on higher grade guns but not always.
Several types (to the Damascus experts) were used on Grade 2 - 3 and perhaps higher.
Bernard Damascus barrels were used on Grade 4, “C”.
I have an EH with distinctive snake skin looking Damascus patterns. My other EH's of the same period have more communally found patterns.
I also have Damascus on Grade 2 and 3 guns and also in LC Smiths that include a change in pattern and perhaps two billets (
http://www.picturetrail.com/sfx/album/view/16082038 ) were hammer welded together. Those barrels are interesting and to me, a little more valuable than a barrel with uninterrupted pattern. Too each his own... Those splices or changes in patterns would not be evident until the barrels were finished.
What we will unfortunately will not find on Parkers is my favorite, the Chain Damascus pattern as shown on my moniker. That is from a photo of an LC Smith 10 Gauge.
One could write a book on this subject but my lawn mower is calling me so I won't attempt that today
Mark