The Secret Society of Lathe Trolls

I want to make my wife a personalized 7" for her birthday. Can anyone cut a song onto a blank 7" if I gave them an mp3? I'm sure this is annoying, but it would be a huge help.

EDIT - I forgot to mention, I'll pay for materials and shipping and all that jazz.

but if you were making 7'' sheets, a large pasta machine wouldn't be necessary. The past sheet attachments are bigger that 7" aren't they?

I'm super excited to get into this hobby, but I'm having trouble finding the necessary equipment. Can anyone help point me in the right direction? I need a lathe, I know this much. I've also got a budget, I'd like to be able to do "entry level" cuttings without spending over 500 dollars. Please and ...

I'm super interested in learning how to cut my own records, but have never tried. What's a good way to go about starting? What equiptment do I need, where can I find it, etc....