I think
Jane goes perfectly with your other girls names, particularly
Margaret and
Catherine. It would definitely be nice to see a young
Jane, rather than just another middle name
Jane.
Jane Isabel is OK, but I don't think it's perfect.
Jane Dorothea could work, or
Jane Matilda.
It's up to you whether you consider
Jane to be a family name. I personally wouldn't count it because, although they're related,
Jane and
John don't sound that similar, but it's personal preference and you need to decide yourself.