A style like this is not pure Lolita, it is a bit more influenced by Gothic (for a great post on Gothic in white, check out Screw The Rules). But a few Lolita brands often have just such a ghostly Victorian look to many of their pieces, Juliette et Justine being the one that comes to mind first. While not specifically Lolita, h.NAOTO and Alice Auaa both have a lot of pieces that would be right at home in this style, and Suppurate System would add the perfect finishing touch to an outfit.
Here's a little Polyvore set I made while I was dreaming about this style. As I was making this it dawned on me that I like it so much because it reminds me of the Romantic Goth/Lolita fusion I posted about a while ago. Sadly, I only have one white dress, and it's very Sweet Lolita, so I don't think I could get it to work with this style, but we'll see! Maybe I'll dig up something forgotten from the back of my closet and finally be able to give into this craving!