Granny Buttons has again posted about the curiosity of cows. We too have noticed this behaviour and have some images of cows watching us pass by, particularly on rivers.
I haven't got an image of a line of cows available, but our most memorable example of curious cows was when were moored overnight at Cogenhoe ( by the way pronounced Cook-no by locals) on the River Nene in 2006. A group of cows and their bull approached us and got right up to our side hatch which gave us a very close view. The image below was taken from inside the cabin with a standard compact camera - Canon PowerShot A40. As you can see we were at eye level.
Bull by the River Nene at Cogenhoe, Northants
You will notice that the bull was nearest and, although he was grazing when I took the picture, he appears to be keeping a "weather eye" on us.