Baby never naps for more than 30-45 minutes at a time. When she's awake, she only lasts about half an hour (if that), before looking tired again; I'm sure it's because her naps aren't long enough. Maybe I could try extending her nap times.
Today's strategy was to go in when she woke (first waiting a reasonable amount of time to hear whether she'd go back to sleep again), and try to re-settle her for another round. However, what happens in effect is that she'll fuss a little and spend maybe half an hour looking around and vocalising to herself before going back to sleep again. In other words, instead of having a longish nap of 1 1/2 hours, she'll have two naps of 45 minutes with a long gap in between. Result - Lots of time spent in bed and still only able to stay awake happily for half an hour at a time.
So it's back to the drawing board.
A really sweet thing happened tonight after Baby woke up to have her first proper feed for the day (at 7pm, half an hour after being put to bed for the night). I fed her, wrapped her up in her blanket and put her to bed still awake. Then I lay down on my bed and pretended to go to sleep.
With one eye open, I watched as she turned to see me lying on the bed, turn the other way, and turn back to look at me again. And then she smiled and closed her eyes.