Depending on the engine size and model year the corolla and starlet used the same carb, atleast here in europe.
I have a 78 starlet carb on my 1,6, and had it on a 1,3 before that.
nice simple bolt on carb with manual choke.
If you can find a cheap corolla carb go for it.
and be shure to mount it with the float chamber facing the rear!