Throughout Harry's years at Hogwarts, the strange relationship between Argus Filch and Mrs Norris is mentioned multiple times, with Harry speculating - or at least wondering - if the two of them can actually communicate. This could, of course, be written off as a single instance. However, there's one other confirmed Squib in the books - Harry's neighbour and everybody's favourite crazy cat lady, Mrs Arabella Figg of Little Whinging - who, as it happens, also seems like she might have a slightly unusual relationship with her cat(s):
'Yes, yes, yes, but luckily I'd stationed Mr Tibbles under a car just in case, and Mr Tibbles came and warned me, but by the time I got to your house you'd gone ...' she [Mrs Figg] shrieked...
I've owned cats in the past, and they generally don't allow you to station them anywhere, nor do they typically come and warn you about specific events happening, which suggests that there's something odd going on here.
Is it just a coincidence that the only two confirmed Squibs (as far as I recall) in the entire books appear to have the same unusual ability to communicate with their cats? Is it limited purely to cats or do other Squibs have a similar affinity with other types of animal?