Actually, both semi-colon uses require a comma instead. "My blood pressure was steadily rising, each passing second drawing me closer to smacking her." A semi-colon would be okay here if the tense was different e.g. "steadily rising; each passing second drew me closer to smacking her." And yes, the second use of the semi-colon is incorrect as well; it requires a comma. Just in case you want to, read this for further help regarding the use of semi-colons: http://grammar.about.com/od/punctuationandmechanics/a/semicolon09.htm
Thank you. Out of every punctuation mark in the English language, the semi-colon is still the number one offender in my "I don't know how the heck I'm supposed to use this" dictionary.
A semicolon is used between two closely related independent clauses, but in your example, the sentences after the semicolon are not independent clauses. In the second case, you could write "was tingling" and use either a semicolon or a period.
More like this then? My blood pressure was steadily rising, each passing second drawing me closer to smacking her. How dare she? I’d been standing there dressed in nothing more than a beige skirt suit, stockings, and heels; my body was numb from the frigid winter air, and she’d had the nerve to say she was freezing? Now I wanted to kill her.