To expand on what justin posted...
There are several variations of Type I barrels in 8 3/4" and 10", some very rare (as are the very first frames that were flatsides); but basically the significant identifier is the addy: T/C Arms Rochester N.H. followed by the caliber; very first where in 22RF, 22WMR, 22 Jet, 22 Hornet and 38 SPL only before 357MAG was also added; all 1967 only.
There was an intermediate between Type I and Type II with a one line addy that is the caliber followed by T/C Arms Rochester N.H.; also 1967 only.
Type II; now with a two line addy that still has a period after both the N and H (after the H only in the two line Type III barrels); 1967-1972 I don't remember offhand how early in 1968, but they dropped the 8 3/4" length. By the end of the T2's they had the largest cartridge selection. IE, in 1968 they added 256WM and 45 Colt; in 1969 30 Ccarbine and 222Rem and by 1970 they were up to 25 cartridges for them including the Hot Shots and still going.
L.