Your hsv2 result is quite likely a false positive. Anything between a 1.10 and a 3.5 needs to be confirmed. A 1.39 has about an 85% of being a false positive.
(https://westoverheights.com/forum/question/history-of-negative-hsv1-2-new-low-positive/ - trigger warning - this thread talks about sexual assault)
False positives happen because the hsv IgG test looks for things in the blood that have a certain molecular weight, and sometimes the test picks up normal blood proteins that have a similar weight.
You can choose to ignore it, which would be an absolutely reasonable choice, or you can get another hsv2 IgG test, or get a Western Blot test.
Your doctor can order the Western Blot test. If you need something to convince them to do it -
https://www.cdc.gov/std/treatment-guidelines/herpes.htm
It discusses the false positives in that article.
Has your wife tested?