So if I understand correctly, you're just trying to find the mesh file for your object? If you made the object with basic shapes (I'm assuming you just positioned default shape meshes together in Object Maker?) then I don't think there's any actual files in My_Objects. If you want to put it up for download I believe all you'd need is the .object file located in the Objects folder, and anything else you used that doesn't come with the default FH (like any new textures or w/e).
Apologies if I misunderstood what you meant :o