I've never heard of squash bugs on corn. They are a very specific feeder and don't normally bother anything not in the squash or cucurbit family.
I think it's more likely another member of the stink bug family that bears a resemblance to them. Stink bugs are liable to attack anything.

Posting a picture would be helpful in identifying this bug for you.

Greg
Southern Nevada

Probably not squash bugs but leaf-footed bugs or another kind of stink bug. Leaf-footed bugs are pretty common on corn and a wide variety of other plants.

Here is a link that might be useful: Click here to see some leaf footed bugs!

I have squash bug eggs on everything from corn to peppers to watermelon. I also have found them on bean plants.

I at first thought it was strange to see them on different plants along with my squash and pumpkins but I have identified them as squash bugs.

Everyday I go through the garden gathering eggs and squashing bugs.

This year has been a bad one for bugs in my garden.

I too have a major problem with stink bugs: they've infested tomatoes, all over peppers (I've never had bugs on my peppers!)and they were so bad on the corn I finally ripped it all out. I made the mistake of going on a 2 week vacation in July and they exploded in that short time. While there may be squash bugs in the mix, I've ID'd them as stink bugs based on a 'checkered' border at the base of the wings. A hand vac didn't work very well so to get them off my peppers, I've been shaking them over a pail of soapy water several times/day. Yuck!

She may have soldier bugs. I walked into my yard yesterday and today and found them on the corn and castor bean plant. It may be they were on the cayenne pepper plants, not the castor plant, but I know there were 2 mating in the bowl I collected seeds and peppers in. I tossed them out the door of my house when I found them. They were certainly the soldier bugs being their shoulders were straight with head and legs sticking out the front.

Here's a link to those:

http://insects.tamu.edu/fieldguide/aimg80.html

Here is a link that might be useful: soldier bugs