Syracuse Arms barrels entirely per Tom, and I have not seen enough SAC Damascus to know what they used for 'Fine' or 'Finest'. The 'Washington' pattern shown is on a Gr 2 or 3:
Grade 00 "Triplet Steel" (first offered in 1901);
Grade 0 and Grade 1 "New Twist";
Grade 2 and 3 "Improved Damascus";
the Grades A and A-1 Special Trap "Fine Damascus" or optional Krupp Steel;
the Grade B and Grade C "Finest Grade Damascus" or optional Krupp Steel;
and the top of the line Grade D "Whitworth Fluid Compressed Steel" or the "Finest Grade of Damascus Steel Barrels Obtainable" (the Grade D gun retailed for $475.00 in 1902.