Should I capitalize a contraction at the beginning of a sentence? [duplicate]
Solution 1:
You should definitely capitalize the first letter. In fact, apostrophe isn't really a letter - it's a character. The first letter in the sentence you presented is "C". The fact that the first two letters have been replaced by an apostrophe simply means the first character is "C".
A very famous case would be Shakespeare's tis:
'Tis now the very witching time of night