No, I don't think that's correct. An oval means an armored unit (of an armored division), an oval with a cross through it is a unit of a mechanized infantry division, and a simple cross without an oval is a unit of an infantry division. I forget what the designation for a cavalry division is.
In case you're wondering what the difference between an armored and a mechanized infantry division are, among other things, an armored division has 6 armored battalions, while a mechanized infantry division has 4. I think that that means that an armored division has about 315 tanks while a mech. inf. division would have about 220.
you are correct...I remembered after I posted it. Thanks for the help. The little V symbol in the one map symbol stands for Air Moblie. If that give you an idea of who that might be without giving away names.