"apostrophe", or 'apostrophe'

Scott's answer is true of American English. But British English differs slightly.

In both, (') is an apostrophe, but in British English the single quote mark (') is used where Americans use a double quote mark ("). The British use the double quote mark to indicate a quotation within a quotation. The American usage is reversed.

British English -- John told Sally, 'Let's go "out on the town" tonight'.

American English -- John told Sally, "Let's go 'out on the town' tonight."

I hope this helps.

Not entirely sure of the question....however there is a difference in the marks you're using.

( ' ) is an apostrophe...used in most contractions and possessive verbs.

( " ) are quotation marks denoting speech or a direct quote from another source.

Is that what you're asking?