Daisy- meadow voles are what I've seen. Otherwise the vole that looks like a hamster may be in your neck of the woods. Voles will eat bulbs and roots. They ate my lily bulbs so all I had left were the boring ones. Lol.
Doesn't mean that's the problem though, just threw it out there as a possibility because of what she described. A photo of the area would help too.
Edit: spell check.