This will be a bit of an arcane request.
I picked up this coin recently, and I collect coins of the Duchy of Lorraine, so I know to some extent what I have, namely a quarter teston of Charles III, juvenile bust, dated 1556. There is a common variety of this type which is undated. The dated examples are more sought after. My only catalog for this region is rather old (DeSaulcy, originally published in the 19th century). DeSaulcy is OK for major types, but less strong on subtypes, and on the extant dates for each type.
I think the salient details which may define the type are these:
Obv legend ends in LOTAR.B.DVX
Rev has an anchor moneyer's mark at 6:00, and coin is dated 1556
From searching online (CoinArchives, acsearch and the cgb database), I see Boudeau references #1524, 1528 and 1534 for various examples of this type (juvenile bust).
I see Roberts references #1464 and 1465 for this type, with 1465 appearing to match my obverse legend, and having the anchor mark.
I cannot find another example of this coin dated 1556 anywhere. There are many 1554s that come up in searches, and deSaulcy mentioned the 1555, but neither with the anchor. I will also mention that the crudeness of the legends bothers me a bit, though all the other details look right.
Grateful for any further insights (for anyone interested in searching, this denomination can come up as either 1/4 teston or quart de teston).