If I could add a caution about the interest in "matching Antoinette's DNA" - the only way to do that would be to have a Full Sequence test result that exactly matches someone else who has a Full Sequence mtDNA test result *and* is a well documented female relative of hers. That means not just matching the haplogroup but also all of her additional mutations.
And further, if you discover you match her exactly, you still haven't proved you're a descendant. You've only proven that you have a common maternal ancestor with her, but that ancestor could have lived thousands of years before Antoinette.
The K1a2b haplogroup is very old. From Behar's report, "Its age is between 5,100 and 13,900 years (Behar et al., 2012b)". That's long before France, long before modern Europeans, possibly in Neolithic times.
Unfortunately, matching someone with mtDNA is usually not very helpful. You will still match at least hundreds of thousands of others, and probably millions of others. A perfect match does help make sure you're on the right track, and a haplogroup non-match conclusively says there's no connection within thousands of years (at least on the paternal or maternal line).