Is an apostrophe directional

To clarify - does an apostrophe face a certain way? I have seen most that seem to be straight up and down and I have seen some that seem to face to the left. I recently had some type set for a cup imprint and the copy contained Class of '66. Typesetter had the apostrophe facing right like a single quotation mark which did not look correct to me. He said it was the font..Would this be a correct usage?