Were these bulbs chilled before forcing? It might have been that some did not get a sufficient chilling time. I think Van Engelen says on its website that the bulbs are not prechilled. I Googled "chilling daffodils" and thought this article was rather nice:

http://www.bhg.com/gardening/flowers/bulbs/forcing-spring-bulbs/

I gave no input on the mold....hopefully someone might comment how to further with your current situation.

I am not at all sure about this but I believe that Paper Whites are a variety of tazetta narcissus which do not require a winter chill. Hence the ease with which they can be grown indoors. I can't find any evidence that Flower Record is a tazetta and therefore I assume it needs a chill period in the dark or it won't flower. Narcissus intended for growing outdoors in places with a winter don't get a pre chill at the suppliers. They get it automatically after they're planted in the garden. So if these bulbs were mine I'd pot them up and put them into a cold dark place for several weeks before bringing them inside. I do this with Hyacinths every year but I've never forced daffs so this is all conjecture. Over here bulbs are sold as 'prepared'if they are intended for indoor growing i.e. pre-chilled. So I've never done it myself.

Yes I did wonder about the chill period...since the rest did get planted in the garden and are getting a chill time right now. I'll put the few pots in the basement and bring them out a month from now and see what occurs. The ones I unpotted (slightly moldy) have dried out, so I'll put them in there too.

Should have left the box outside for a few weeks before attempting this I guess!

I might leave the one pot that does have roots and is growing to see if it will flower with no chill period, if nothing else an interesting experiment.

Thanks!

Is the basement really cold? The link says 35 - 48 f is needed.

Flower Record is mentioned in this article.

p.s. the chill needs to be damp as well as cold, so the bulbs need to be potted up, not loose.

Here is a link that might be useful: Forcing Daffodils

I'm pretty sure that Narcissus and paperwhites are the exact same thing. I've seen some yellow Narcissus on the internet but don't know if growing them is any different.

Paperwhites don't require cold periods, they're native to regions that don't experience the cold that other species require.
Paperwhites are a species of narcissus, but that doesn't mean that they're the same as every other species :)

Exactly, All Paperwhites are Narcissi but not all Narcissi are Paperwhites. In fact all Daffodils are Narcissi botanically speaking. But the term Narcissus is used in common parlance to mean certain short cupped species and varieties. Depending on their native habitat they may or may not require a chill period. Paperwhites are so popular for indoor growing precisely because they don't need chilling. You can just plant them up and stick them straight indoors.