The 1344 amp began its life as the 1304 in 1949. It became the 1344 in the Fall/Winter catalog of 1950, at which time it had the Silvertone logo applied in the decorative silver band around the amp. The 'vibrato' listing in the catalog is labeled 'tremolo' on the amps. There is some mystery regarding this amp; the innards are nearly identical to the 1303, even though the 1303 looks just like a 1300.
Spring/Summer 1949 at $79.95 as the 57K1304
Spring/Summer 1954 at $89.95 as the 57HO1344L