That worries me that she's still trying to collect eggs for a new nest. The baby won't leave her side right now and if she's still wanting to sit on eggs she won't take the baby to feed and water as often. It might be a good idea to get at least a couple of day old chicks and try integrate them with mama and the chick, it might help crub her desire to set, just keep in mind if she rejects them you'll need a broader pen. I got lucky i read somewhere to only introduce 1 or 2 at a time I did all 6 at once she didn't accept then right away but want rejecting them either. It was warm enough then that I left then in the mama pen over night and by the next day she was happily caring for all the new babies.
The mama pen is always a good idea for new chicks it gives mama a better chance to bond and teach the chicks untill they are ready to mingle. One thing that we tried with our chicks too is if you have any 2x4 hardwire you can enclose a corner area with some chick feed and water, mine was a little small but still worked. The chicks can run in and out of the 2x4 to get eat or just to get away from the other hens, so it's a good safe place for the first 5 weeks out so. And i noticed my mama had started taking the chicks too that corner through out the day, especially once everyone came out of the coop and were hogging all the fed and water. Still to this day mama gets her chicks up before anyone else so the chicks can eat and get water before all the hens get moving