Birdhouse gourds drying properly or molding and gross?

I picked my gourds just as we got our first frost.  They were heavy and green.  I set them in the warmish basement.  The tops on some have started turning brown but they've also picked up some fuzzy white mold.  The wife thinks we need to throw them out.  It's not humid in the basement so I don't know what's going on.  Is this normal?

Looks perfectly normal to me. I typically leave them outside, so that the microbe spores and oozes don't contaminate the house.

I might leave them plain old out in the weather, or I might put them inside an old shed. They freeze/thaw all winter. Get snowed on. Whatever. The shell is basically a piece of wood, so it can take a lot of weather.

Lagenaria (birdhouse) squash.

I think it might depend on how mature they were at harvest.  If heavy and green as you describe they might not cure out.
Is the part that's turning brown as hard as it should be?  It looks odd to me to see only the tops browning.

I would be tempted to cut into one and see what's going on.

A little mold on the surface as they're curing is pretty normal and you can wipe it off.

We haven't grown gourds in a long time...sometimes they would cure out on the vine and some years never mature in time before a freeze.

Thanks for the replies!  I'll move them out of the house.  I was treating them like the butternut squash that I normally cure inside before storage.

I think they were mature, some of these were full sized for two months before I picked them...