Kaiser did moaning mostly and some wailing as a puppy at bedtime for the first two days and then just a few minutes of moaning but was surprising good within a week, just make sure you have something warm in the crate, snugglesafe, covered hotwater bottle, pet electric blanket just make sure it's safe, put a blanket over her. It may just be coming out of a warm place and going back to a cold one and doing a moan about it. Even now if we go out Kaiser sometimes has a bit of a moan to say hey I want to come, but I have video of him and he hears the car go and just goes to sleep. Maybe she is doing the same, while she can hear you she does it and then settles when alone, are you able to video her to see what she does and then you can relax and ignore her knowing she is doing the normal thing and not going crazy and hurting herself. Good luck.
Jolanda and Kaiser