To clean baked on grease on a stove top take some Easy Off oven Cleaner and spray the baked on grease with the Easy Off Oven Cleaner and allow it to sit for an hour or 2 so that it will eventually lift the baked on grease off the stove top.
Then use a scrub brush and scrub it with some hot water and the baked on grease should come off the stove top easily.
If not then add some baking soda and vinegar onto the grease and then let the vinegar and baking soda work on the grease.
Then use a scrub brush on the grease again to scrub the grease away and then wash the excess off with a wash cloth.