The two words that look like Martha Park
The first letter of the second word must be an I. At least that’s how I was taught to do capital I in the olden days.
Do you mean the first letter of the second word of what I assume to be the signature? The one with a wide underscript swinging to the reader's right, and comes back again to the second letter?
Any idea of what that second letter would be?
If I may take the liberty of first answering for Mckha, I think his or her post refers to the letter in Signature_Section_Initial.jpg as attached.
If I read you correctly, you are referring to the section in Signature_Flourish.jpg as attached.
My interpretation of this latter section is that the forename ends with a superscript contraction as was common in this period. Common examples are
Jno,
Jas &
Thos.
I think this one ends with a
y, and the underscript (as you describe it) is a flourish, continuing from the tail of that
y and joining onto the
first letter of the surname - which is probably
T.
Finally, regarding the letter in Signature_Section_Initial.jpg, it doesn't look like the
I in what I think is
...I believe him... in the main text above.