I tend not to freak out about stuff I have no control over. Ok, well, sometimes I do. But I try to stick with the things I can control.
That caveat out of the way . . . I came across this site today about red eye and childhood cancer.
http://photomagic.fotosource.com/downloads/flyer/eye_cancer_en_CA.pdf
If eyes DON'T show normal red eye (one eye is normal red with flash, but the other eye has a yellow or white dot), it is something that should be checked out by a doctor.
Easy-peasy check.
If you want me to do this for you when I'm taking your child's photos, remind me.
Now, stop worrying and give your kids a hug.