I second the couch to 5k comments. Additionally, If you have a parkrun (or international equivalent) give that a go for motivation and to help see time gains - they allow walking so you can do walk/jog intervals.
I do want to ask though - why the hour between getting up and running? I (generally) recommend against running after eating. Get up, go for a run, then eat/shower etc after
Going to bed early enough that your actually awake before your alarm really makes mornings easy. I didn’t used to be a morning person but I kinda am now!
The next question does then become - how do I make myself go to bed at a sensible time?