Metal Detecting Finds | Two English Hammered Coins

Let's start with the Elizabethan one. First, when you said it was just under an inch I thought it had to be a groat. But the groats don't have a date above shield. So, it does look like 6 pence dated 1561, which means it was a part of the 3rd issue minted 1561 - 1577. Now, there are some puzzling details. The obverse legend (for all varieties) is supposed to read ELIZABETH DG ANG FR ET HIB REGINA, but I don't see HIB, only H or maybe HI. The other thing is the mintmark on the reverse, above 61, before the legend. It looks like a coronet to me, but the coins with this mark are supposed to be undated. Here's what I have for the years of issue for this variety, and you can figure out which one fits your coin (you can see the mintmark better than I):
pheon: 1561 - 65;
rose: 1565;
portcullis: 1566;
lion, undated: 1566 -67;
coronet, undated: 1567 - 70;
castle: 1569 - 71;
ermine, undated: 1572 -73;
acorn: 1573 -74;
eglantine: 1573 - 77.
The Coincraft Catalogue lists those at £10 for poor and £22 for VG (I am not an expert in grading).
I'll keep working on the other coin

OK, let me work through the penny now. First sure thing is the reverse legend, which reads CIVITAS CANTOR (Canterbury mint). It produced coins for Ed I, II, and III, and unfortunately the pennies were very similar.
The obverse legend. I'm pretty sure it is EDWAR ANGL DNS HYB (Edward King of England and Lord of Ireland), which rules out Ed I - Canterbury mint had a bunch of extra letters in the legend for him. The way to distinguish between Ed II and III is the letter N. On the coin for Ed III it should be "Lombardic", especially in the DNS part. On your coin the N in DNS doesn't seem to be so special (though, I should admit, I am not an expert on Lombardic script).
So, my vote is for Edward II (1307 -1327). Here are the classes of his pennies:




If you pay attention to the legend rather than the effigy, class 11C is the winner - the rest of them have an extra R: EDWARR ANGL etc.The effigy is closer to class 11A, or could it be 11B which was minted in Canterbury but not shown here?
So, if it is Edward II penny class 11 then it was minted between 1310 and 1314 in Canterbury, and its value for a VG grade (the lowest in the catalog) is about £22.

I believe the Elizabeth I coin to be a threepence, rather than a sixpence. If so, then it is Spink 2566. Value would be about £15-£20 in that condition, in my opinion.

Kindest Regards,

Clive.

If its diameter is 19 mm it's 3 pence, if it is 26 mm then it's 6 pence. dazzer71 would have to chime in on that issue.
I do agree with HistoricCoinage on the date, and here's something else I found:
"Some dates on Elizabeth I sixpence, in particular 1568/1567, are overdates." Now, look at that coin and tell me it wasn't originally '67 die changed to '68.

To avoid the expense of making a new die they just alter the die from the previous year. Sometimes the engravers do a pretty crude job.