Relationship issues...?

Okay... so im 15.. my girlfriend just turned 16... we live an hour away from each other... I had to go to work in Foley, Alabama to the hot air ballon festival with my mom... and i decided to ask my girlfriend if she would come? she said yes of course... anyways.. we were in our spot and we got a little bit to touchey feeley in the booth... infront of my mom... witch was our mistakes... and now? were home... my parents wont let me see her or date her any more... her parents just dont like me due to a mis understanding of me 'supposedly' saying everything was all her fault... witch never happened... but.. what im wondering? What should i do? How can i fix this? or atleast try to fix this? and i would very much apritiate it if you nice people wouldnt go on about how i shouldnt be sexual at 15... or i should of made the mistake of doing anything infront of my mom... i know... its the only thing been goin through my head besides... not being able to see my girlfriend... but... like i said.. what should i try to do to fix this?