UUilliam. Just some friendly advice. You never want to remove all the highlights from the subjects eyes. They are a spherical, wet surface and will reflect a specular highlight if they are being lit. It looks rather disturbing if they are missing and what are known as "dead eyes" in the industry. Open up a magazine that features a lot of portraits, such as a beauty magazine. I dare you to find one photo where the highlights in the eyes are not present, unless the lighting is very top heavy and moody, with the sockets themselves deep in shadow (think Brando in Godfather).
Conversely, two or more specular highlights in the eyes can often make the person look ditsy. It is an old school rule to avoid 2 highlights but it is being broken more and more, and it can look good at times.
The Earth only has one sun. Our brains have been evolving for a few billion years and we are literally programed to see one light source as normal. One light source will create one highlight in an eyeball. Zero highlights or two + highlights need to be realistically motivated otherwise we sense something is inherently wrong.