I just looked in my 4th edition of Standard Catalog of S&W; the J frames were serialed as follows:
1969-1970 J1 - J99999
1971-1972 1J1 - 999J99
1973-1974 J100000 - J250000
etc. etc.
Therefore, your 36-1 was made in either 1971 or 1972, the years of the "floating J" serial #s. To further confuse matters, in late 1982, S&W again floated the "J" in the serial #, although this time there are 7 characters in the serial #, whereas in 1971-1972 there were only 6 characters in the serial. Also, 1982 guns would not have a pinned barrel.
