I definitely think your W is interested. By telling you who she's calling etc she is reassuring you, 'don't worry you are still important to me'.
During the 6 months I was 'grey' with H, he told me he wouldn't be able to have dd4 one time because he was going away for a weekend to London, then he quickly added, 'just me and the kids' as if he was reassuring me it wasn't a 'dirty weekend'.
I remember thinking it was odd and I commented to my friend about it and said I thought he'd be back on my doorstep soon, and he was a couple of months later.
Don't want to raise your hopes too much, but that's what happened in my case, so I think you have a good chance of cultivating a friendship with your W.
I must go to bed in a minute as I feel a bit yucky again.