TDCHIM

You're going to need at least a couple of years of experience before you can land one of the from-home coding jobs (they usually include an orientation period of six weeks to a few months before you start at home anyway). And before you can get that experience, you're going to have to get some training and proper credentials - correct coding isn't just something a trained monkey can do. Most places (not all, but most, especially the larger and the more reputable places) will want you to have a CCS (certified coding specialist) credential through AHIMA in order to apply for their jobs. Here are some details about that credential: https://www.ahima.org/certification/ccs.aspx Other employers looking for coders are specifically requiring RHIT or even RHIA credentials along with experience; the former involves an associate's program in health information management, while the latter is a baccalaureate-level credential. The job market is tight in this field, as it is everywhere, and most employers are taking advantage of this opportunity to get people with better credentials and more experience.
If you're looking for something quick you can do with minimal additional training, maybe you'd do better to look for a medical transcription job or a p/t position in a doctor's office close to home. Obviously the latter wouldn't be at-home work, but you might still be able to keep an easy, flexible schedule with very limited child care.