You included the wonderful moment where Amanda gets this new neighbour and treats her like a neighbour and when Lee accompanies her, he finds that this new neighbour is an aristocrat and their case (if I remember correctly. I've seen the series a few years ago and my copy of the DVDs is about to arrive so I'm dependent on my memory of that episode.)
Amanda was usually on Lee's left, because Lee was left handed and Amanda was right handed. It was natural for one or the other to reach out with the primary hand. In this case, both of them.