As you will have gathered from Frances's Manx Notebook, the yarn is mostly about Joughin's escapade with the excise cutter, with only a passing reference to the Stuart connection.
In the short time that you will be over, will you be visiting the General Registry Office and the library of the Manx Museum to try to push back your husband's ancestry in the line that leads to the Stuarts? Do you know which line that is? Check the opening hours of Museum and GRO when you arrive to plan your time.
I will be interested to hear how you got on. E-mail me on your return if you like.