Hi Jim.

You have improved indeed! The wrist looks more natural. Good job!

The only thing I would point is when you are doing the string crossing, your elbow is staying in the same position. That is more noticeable when you are bowing in the A and E strings. The arm should lead the wrist,  try to keep the elbow at the same level of the wrist. This will help you in intonation. My teacher call it the "Barbie arm" movement XD

Jim Dunleavy said
Thanks guys - bowing correctly is certainly a challenge!

@ElisaDalViolin I've had a go this morning and just to clarify, is what you mean that as I cross from string to string I need to make sure my upper arm does the moving thus keeping the basic bowing motion of wrist and elbow the same for each string?

Ken, I didn't expect anyone on here to get it (except maybe @Bill, but I think he's still on holiday - vacation I mean). It's a local folk song called 'The Water of Tyne'.

The forearm should do the moving, the wrist/hand "rests" and goes with the motion. The upper arm shouldn't move as much and the elbow adjusts in height or angle according to the string you are playing. It's kinda tricky to explain since it's all connected. 

A exercise you can do to understand this is just lay the bow on the strings and without bowing, you work your arm by crossing strings. 

I'm sorry if I sounded confusing, sometimes it's hard for me to express myself in english. Oh, and I did a mistake, for some reason I wrote E... clearly need to sleep more XD.