Herb, I have Kontakt 5.5 and there is a reverb in the instrument effect section. Click on the wrench in the upper left hand corner, instrument effects then add fx. IIRC this was also available in Kontakt 4. But I do not believe this is available on the free Kontakt Player but I don't know for sure.
Yep, there are controls within Kontakt itself, but often many instruments implement their own effects controls on the instrument page itself. Not saying the patches may not already wet with effects (as Herb mentioned), but sometimes you really have to look under the hood and you may find you have to look for the hood latch to even get there.
Yep... for a minute there I had a hard time finding that wench in the corner..... oh... you said wrench.... my mistake....
Yeah... it's not that easy to find. It's not in the main synth GUI. You have to load a sample set, and then it becomes available in the sample GUI. You have to open a few things to get there but yep... there is reverb in those GUI's. You gotta dig to find it.
Honestly, I never knew it was there because if I needed verb I simply grabbed the reverb in the DAW and plugged it in. That said... the sample I used to look for the K4 reverb was Cello ensemble which was plenty wet to start with.