I've gone back to fill in the gap of my TES experience, and installed Morrowind on my laptop under windows 10. Got MGE XE and Mash to work there without any problems, and played for a time.
Then I decided to move it all to my desktop/gaming machine which runs Windows 7 Pro. The game and MGE work, but I can't get Wrye Mash to start up. Running Python.exe from the command prompt gets me "wx.py can't be loaded" on the laptop where it works! Even with that resolved on the desktop, I still get nowhere. Now it's import _core_ filing with "ImportError: DLL load failed: $1 is not a valid Win32 application." I'm suspecting some kind of 32/64 bit conflict, but can't see which direction to go next.
Meanwhile, I can still play, just without Mash's help.(except under Win 10, sitting in a less comfortable chair!)
I checked the versions, and indeed I had the 64-bit wxPython with the 32-bit Python 2.6.6. However, fixing that just gets me to another "cannot be loaded" situation. The copy that runs in Win 10 is 2.6.5. I'm reluctant to fall back a level under win 7, as that has a working NifSkope etc on top of it.
Wrye Bash for Skyrim and Oblivion is the standalone 3.0.5/6, so not involved. I have one release for Oblivion, and added the other for Skyrim.