I think what you might have is a Charles I rose farthing of 1636, possibly type 2.
I used the following reference work
The Galata Guide to the Farthing Tokens of James I and Charles I
Tim Everson
Galata 2007
In your first picture there appears to be a discoloured wedge of metal, like a cake slice, from just before 12 oclock to about 2 oclock. This matches pictures of brass wedges in these farthings as an anti forgery measure.
If this is type 2 you will have:
Obverse:
small central double arched crown, crossed sceptres through the crown, the heads and bottom tips of the sceptres just reaching the inner circle of the surrounding text.
Text reads CAROLVS DG MAG BRIT, with slightly varying punctuation according to sub type. C in CAROLVS starting just to right of 12 oclock. Vertical line of D in DG being in line with bottom right tip of sceptre. Right leg of M in MAG roughly in line with bottom left tip of sceptre. I in BRIT lined with top left point of sceptre.
Reverse:
Small central crowned double rose with crown reaching edge of the coin. Text is FRAN ET HIB REX, starting just to right of crown.
There are sub variants with or without privy marks etc.
Hopefully this is not just wishful thinking on my part. Does what I have described match what you have?
Edited by Anaximander
01/27/2019 08:42 am