I saw your posting and thought I would send this to you as well as post it under the surname.
My name is Shelly Murphy and I was looking in an antique shop today near my office that is closing in a few weeks.I saw a beautiful antique engraved silver teapot there.It had the initials, E.P. and inside written on the description of the teapot (which was very delicate and yellowed with age) was the words Grand Mother Elizabeth Pearshal
I have not seen the surname Pearshal, but since this was similar, I thought I would pass it along.
If this is your relative, let me know and I will put you in contact with the antique store.