have yet another response -- I use a couple of washers on each of the needles. It's kind of an elegant system (the needles). Have to make sure the low speed needle in particular is securely seated, but without breaking it (it's brass). Your 35 has addit parts too (springs, I think, unless that's the '58 -- not sure). You might practice seating the l.s. needle with the expansion fitting off on the top, if the carb is still apart -- get a chance to see how it works, and get the feel of seating it.
The larger diameter hollow jam nut "jams" the washers, and in doing so pinches the needle in place too.
good idea to look at a parts blow up, if you haven't already.
edit. cork washers are the ones that seal -- hard washers go between the cork washers and jam nut, if used, as described above. (Cork washers are the traditional ones -- softer than the plastic ones.)