Do you know what your actual results are - the numerical value to it?
There are a lot of false positives on the test, and the lower the number, the better the chance that it's a false positive.
Oral hsv2 is very rare. If you do actually have hsv2, it's statistically genital. The only way you'd ever give it to your children is if you had inappropriate sexual contact with them.
Oral hsv2 rarely sheds and rarely recurs, so it's even more rarely transmitted. I've seen maybe 1 or 2 people here with oral hsv2, and Terri Warren, one of the world's leading experts in herpes, hasn't seen it once in her years in practice. Herpes easily can go from the mouth to the genitals, resulting in genital hsv1, but rarely goes from the genitals to the mouth.
If you can, get a copy of your test results. I'd love to see the number on it. It should say something like, "HSV2 IgG 1.34" or "HSV2 IgG 9.7".