I have one of the Tillotson- model--S236G110- - Which I got with some other carbs in a trade of bits n pieces.
It looks to be sized about right for 60 cc engines -
All in all - does the enrichening setup work well ?
My other Tillotsons (big ones) have the usual choke plate.
I have been using the WJ38A Walbro on 60 cc - which typically works very well.
Easy start - good fransition - etc.,.