Some researchers claim that utterances of sentences like "Claire has the three of clubs", shift their truth-values across situations of utterance. I examine one theory, Eros Corazza's, supplemented with the work of Barwise and Perry on situation semantics, to account for this supposed shift in truth-value. I argue that this account is inadequate. I then reconsider the example involving Claire and show that, when it is properly described, it does not support the claim that there is a change in its truth-value across different situations of utterance. Finally, I shall suggest that my re-description of the Claire example can be extended to other allegedly context-sensitive examples in the literature, the re-description of which calls into question the support that they are supposed to offer to contextualist semantic theories.