If you read literature from the 1900s to about the 1960s, babies are often described as 'deliciously plump', and pictures often show really very fat babies. And in fact a 'fat' baby was the ideal. But children were usually very lean. Which presumably says more about children's lifestyles than about fat babies growing into fat children and then into fat adults. Children played outside, walked everywhere, climbed trees etc.
Last year I implemented a 'no tv during the week' rule, which my kids were initially a bit about, but quickly realised that this meant they had so much more time, and their activity levels soared. HOURS spent in the garden, riding scooters up and down the road etc. We don't have any games systems or anything like that, but I'm sure TV and nintendo ds' etc are a huge reason for the weight problems in children.
I don't think HVs poring over the charts and worrying about b/fed babies is the solution - more likely will worry parents!
My kids;
Ds1 - born 9lb12oz - 98th centile, by age 1 was between 9th and 25th centile, has followed that curve - is now nearly 8, just under average height, weighs 3stone8 (don't know what that is centile wise), shoe size 1.
Dd - born 10lb0 - 99.9th centile, has stayed high on the centiles, is now 5.5, about 75th centile for height and weight, shoe size 11
Ds2 - born 10lb2, 99.9th centile, dropped dramatically and then crawled along the 2nd centile. Is still fairly tiny, but a stockier child than ds1 - probably weighs about the same as ds1 did at this age (nearly 3), but he is shorter, so doesn't look so skinny as ds1 did (he is a skin and bone rake). Shoe size 5.