Arabella Figg is a Squib, and as such her relationships with the rest of the Wizarding Worldworld are of a very uneven sort; most pity her because she is part of their world, yet unable to partake, being unable to do any sort of magic. She does, however, know Dumbledore, maintaining a line of contact there.<br>
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Despite thisbeing a Squib, Arabella does seem to have more of a connection to the Wizarding World than one might expect; she uses phrases such as "no use crying over spilt potion" and "the cat's among the pixies" (as opposed to "milk" and "pigeons"), once her Wizarding connection has been revealed. [http://www.jkrowling.com/textonly/en/extrastuff_view.cfm?id=19 The author has also said] that Arabella does have a "roaring business" breeding cat-[[Muggles' Guide to Harry Potter/Magic/Kneazle|Kneazle]] hybrids like [[Muggles' Guide to Harry Potter/Characters/Crookshanks|Crookshanks]]; it is possible that Crookshanks came from Mrs. Figg originally, but that cannot be certain.