<p>The issue is not with the construct <possessive-pronoun><gerund>. That construct is grammatically correct, as is <possessive-noun><gerund>. The possessive functions as an adjective, and the gerund as a noun. There's nothing wrong with that, and so all these are valid examples:</gerund></possessive-noun></gerund></possessive-pronoun></p>
<p>my going, Bob's flying, Rodin's sculpturing, etc.</p>
<p>The problem lies not with correct grammatical use of the gerund but with the meaning of the gerund. Gerunds, derived from verbs, refers to the active-act or process. So "My going" refers to the process of going, and Rodin's sculpturing refers to the process of Rodin sculpturing. In the case of the question in #1 what is the intent -- the process of portraying or the result of that process -- i.e. the portrayal of?</p>
<p>Consider another example:</p>
<p>I am fond of Rodin's sculpturing of the Age of Bronze.
I am fond of Rodin's sculpture the Age of Bronze.</p>
<p>Each of these has a different meaning. I expect that for this example the intent of the speaker is the second -- the sculpture.</p>