UNF = Unified Fine
UNJF = Fine series with controlled root radius - the external threads of the UNJ family have a tightly controlled root radius, the size of which depends upon the pitch of the thread. They're widely used in aerospace components, as one example. The internal threads have an increased minor diameter but not a controlled root radius, so a standard tap can be used.
My data shows 1/4-32 UNEF (extra fine) and 1/4-32 UNJEF - but nothing for 1 1/4-32, which sounds like a special thread of some type.