A.C. Units Leaking Water Inside

[MiracleJ]

We turned on the front A/C (Coleman Mach) and very soon a lot of condensation water started leaking inside. I did not see any water run off on the outside like I usually do, So we shut off the front A/C and turned the back on, only to have it do the very same thing. We needed A/C so we kept towels on the floor and survived but now I need to do something about it.

I first suspect that the drain holes are plugged up? Could that be a possibility? I guess I will have to get up there and remove the shrouds and check out the passages, is there any good advice anyone wants to offer? Believe I could use all the guidance I can get.

Thanks in advance.