Here is the error i'm getting:

'ParentFormID' cannot expose type 'Module1.ParentFormIDEnum' outside the project through class 'MyClass'.

Here is the related code:

I'm not sure what this error means. All I'm trying to do is create a global enum and be able to use it in all areas of my program.

Since your enum and module have not been defined as public then you cannot have a public property expose those privately typed classes.  You need to add Public in front of Module and your enum.

I do not recommend using modules!  This was left for backward compatability.  You should use shared classes.  In the case of your enum, just move it outside of the module and it will reside as its own public enum: