Yes, she did come from a not very wealthy royal family. When she was young, she enjoyed that wealth in Russia, but as she got older she got increasingly removed from it. By the end, it didn't matter at all. As for her admirers, she would have had many more, agreed, but I am not sure she might have cared for them. I can't see her in Germany as the wife of some Prince anyway. In general, she most likely had more admirers than she admired them.