Did the Ice Age cover all of the earth with ice

Answer No. The earth has experienced many glacial periods. The last one, about 10,000 years ago, is often referred to as the Ice Age. About 30% of the earth was covered by ice, most of it in the Northern Hemisphere. Many parts of Africa and South America, in contrast, were warm.
In North America, glaciers covered the ground as far south as Illinois and Missouri.

Answer Above is correct, but I did just see a Discovery channel show about an old theory that the earth was totally covered in ice. There are apparently ice scars on rocks in the saharra, and all over to support this, but back then (in the 1800s or early 1900s?) no one could figure out how it could have melted once the ice sheet was complete, reflecting sunlight away. Now we know a volcano could have emited enough green house gases and ash to hold enough heat and darken the ice to melt again. I forget the time frame, but this was way before dinosaurs, so perhaps 1-2 billion years ago? I do recall that the idea is that the earth had evolved some level, then been knocked back to starting single celled organisms a few times. it was all new to me — not what they taught in college geology in the early 1990s at all.