Layla is waving! She is also, as I mentioned before, using sign language to tell us 'more' and 'milk'. Unfortunately she still gets all these confused (and sometimes just generically smacks her hand on something), but we've been able to pick out some definite intentional gestures in between all the others. Below she turns a generic hand-smacking into a wave, and waves at me, then her dad, then at me some more, then decides she's done and exits.
You may notice at the end of the video I say 'you're so cute' - I say this a lot in videos and I suspect I might say this a lot in general. I guess it's good positive reinforcement for Layla but I didn't even realize I was doing it so often until i was going through all these videos tonight. Well I guess at least it's clear to you all how I feel about her!!