Hi
The James I 'Harington' (mispelled Harrington) Type 2 farthing page (Sp# 2676) only includes mintmarks Trefoil and Cinquefoil, when there were more. I can't add any more as the mintmarks are in the date section (and you can't edit dates) https://en.numista.com/catalogue/pieces52444.html.
The other mintmarks were lys, mullet, saltire and martlet (P.187 https://www.britnumsoc.org/publications/Digital%20BNJ/pdfs/1906_BNJ_3_11.pdf).
It might also be that the dates are incorrect - John Harington was given the patent in 1613, but he died soon after and his son minted type 1 farthings before he too died in 1614. Type 2 farthings were minted by John senior's wife from 1614, possibly up to 1616 when she passed on the patent - so not 1613 and 1613-1614 as on the page.