my sister a usc filed a i-130 nine years ago and it was approved under section 245i and the date is now current.
An I-130 is NOT "approved under 245(i)". IF an I-130 (or some other petition or labor cert) was filed
prior to April 30, 2001, THEN someone who has been in the U.S. and either entered illegally or overstayed their visa may be adjusted pursuant to 245(i) under specific circumstances.
IF the qualifying visa petition or application for labor certification was filed
after January 14, 1998, the alien must have been physically present in the United States on December 21, 2000.
IF that old petition will not be used at the present time, then the old petition may be used to "grandfather" the filing of a new petition by a new petitioner if the old one was "approvable when filed". If you are correct that the petition in question was was filed 9 years ago then it missed the filing deadline. IT may be used if filing from abroad and you are "otherwise eligible" and "admissible as an immigrant".
IF you are wrong in your information as in your initial post and actually are eligible to file, why would you be filing based on an address where you do not live? It makes no sense. Are you a student away at college (or on a temporary work assignment) and applying at your parents' or some other relatives permanent address which is your address when not at school (or on assignment)?
You can provide a mailing address ("safe address") that is other than where you live but the Office with jurisdiction is determined by where you actually live. Why would you want to have to travel to NY for an interview if you live in Atlanta?