Is there a case study about Corning's branding of their fiberglass
insulation and does this case study contain information around the
business drivers and reasons for deciding to brand with "Think Pink"?

So far I have been unable to come up with a single case study of the
"pink" branding of Owens Corning fiberglass insulation product.
However, from various sources, I have found some interesting
information on the history of how this branding came to be, and on how
the company was obliged to defend it against legal challenges. Would
this information be helpful? If so, I will post it as an asnwer.

It would be helpful if it provides background on why Corning decided
to brand a previously generic and "invisible" product.

Have you considered Corning directly, via email? Their marketing
department might be willing to give you a backgrounder.
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Sorry, I meant to ask: Have you considered contacting Croning directly
via email? www.owenscorning.com