I'm applying for citizenship, there was a confusion initially reg my name, is my "legal name" the one on my passport? thanks

There was a confusion reg my name on initial application, they put my middle name as my first name, and gave me my husband's last name on my greencard, i would like to change it back to the way its in my passport, when applying for citizenship, is my "legal name" the one on my passport? the name on my social security card is the correct version, thank you. - Is this your question? Add additional information