I'll be curious to know, a few weeks from now, how it all turns out.
You and your mom are there observing it in person, while the rest of us are just making recommendations over the internet--hopefully between the two of you, you'll make the right decisions for your situation. (Wikipedia tells me that doctors only give antivenom for some copperhead bites, not all copperhead bites--so a doctor might not have done anything you cannot do at home. Not being a doctor, I don't know!)
I personally would have advised going to the hospital
right away, but it's clearly too late for that now