AFAIK -and please do correct me if I am wrong - twins have the same mitochondrial DNA, therefore even if she is a chimera all her cells should share the same mitochondrial DNA.
And isn't testing for mitochondrial DNA fairly simple/cheap?
And isn't testing for mitochondrial DNA fairly simple/cheap?
Even if it's now possible/cheap, that's a recent development.
mtDNA is good for finding your (maternal) ancestral group, less so for your immediate relatives.