No, I reckon you are right with Alice's parents and Alice's Will seems right too [although there is another Will for Alice Caine (Cannell) on Brian Lawsons site.] I wondered if the earlier Will for Alice was for the wife of the John Caine whose Will you kindly posted for me.
It's hard enough to sort out the John Caine's from Kirk Michael without them having to have married females with the same name.!!!