Krieghoff American Eagle Luger?

[Good-Day]

Good Mornin All,
What did I get myself into here?
Ran into this at a Gun Show and had to bring it home.
I have not seen or heard of one of these
The Pistol appears to have been a WW1 Erfurt #'s match minus the Firing Pin and one Grip S/N is 3391 with no Suffix it does have a Hold Open and does not have a Stock Lug and does not appear to have had one.
It has an American Eagle on the Barrel Extension and top of the Barrel is marked H Krieghoff Suhl with 30 Cal on the Left side
Militaru y prrof appear to have been removed and a Crown N is above the S/N. There are also some Small "K"'s stamped on it along with a faint Germany.
Please ref the Pics and appologies the Pistol was still dirty when i took the pics
Front Strap is also Unit Marked 101.R.2.3.