Is she actually related or...?

In TAFWVG, Emilie briefly mentions her 'surname', Liddell, and she says something like, 'Yes, THAT Liddell' or something.

Is she actually related to Alice Liddell or is it just something she made up to get more popularity? I wouldn't put it past her due to her AI art claims, but claiming to be related to an old family is pretty low for her.