My daughter had a lot of hair and I had no heart burn. Scientists say it's more often true than not and heartburn is correlated to babies being born with tons of hair.
And my son was born with lots of hair :) my sister didn't have any heart burn and her daughter was born with a ton of hair as well. A lot of it depends on what you eat and where baby is sitting. My sister lived on mustard they say it Helps heart burn.