Thanks all for the replies and suggestions.
I found the "Hold down the power button" suggestion on the Acer site for troubleshooting and thought right there that the Acer might be less than a reliable laptop. I've had several Acer products, screens etc, that have been very good quality and no complaints at all.
This laptop started doing this no powering up thing with the boss' wife. She got tired of it doing this. Sometimes it would fire right up and other times it may be a week before the laptop decides to allow the power button to work. She bought an extra battery thinking maybe that was a problem, but that's no different from the original battery. This POS laptop is about 2 years old.
As I said, our company sent it to be repaired and when it came back I powered it up several times but when I was out to Ohio I couldn't get it to start and I was down on my work emails for the duration of my work stay in Ohio.
At that time if I had the battery in and the power adapter plugged in, the amber or green charge light would come on. When I would push the power button the blue light on the front next to the battery charge light, would light up momentarily and then go right back off. I brought it back and we sent it back to the guys for review. They finally told my boss that it's a POS and that it's now a throw away item. When I try to plug in the power supply now, I get zip, nadda, zilch, zero, you get the drift. With the battery in or out I get no front panel lights. So it's worse now since they looked at it a third time. I'm really thinking mother board.
So if I can fix it or get it fixed, it's mine and I'll have a good, better, laptop than the HP laptop I have now from the company that's about 7 years old. I know when I did have the Acer fired up at my desk, it picked up our wireless network without any problems and my old HP with a Belkin wireless adapter I can't ever get a signal. The old laptop wireless capabilities are what drives me nuts when on the road. Most all hotels now are wireless and I have to setting right in a hot spot to get a decent signal. I remote hook to my desktop at work and using some our programs make the work go very slow. I'm not a fast typer, maybe 35 wpm, but I can out type the speed of the connection and it drives me nuts as the slow speed sometimes. I've spent a half hour before just doing one simple email reply.

I see on e-bay that there are mother boards listed but most are in China and they look like an all together laptop, not what I would think a mother board would look like.
I've built PC's in the past and I'm quite good with mechanical things, so tearing down the laptop and replacing a mother board is not that big of deal, I think.... I now that the screws are a bitch and I've read where you should diagram all the screw locations and note what size and length of screws came from where.
So with the added information, am I pissing up a rope into the wind?

?
Thanks again for all the help.