I went back to the scripts to find out where I thought I saw "military family" mentioned and the only script I could think of was "Target: Jimmy Olsen." I realized that I scanned for "Sam" and couldn't find it. Turns out that JIMMY is the one with the military base background. Don't know if his father was military at the time but that would mesh well with his father being NIA.

IOW, no, this Lois doesn't have a known military family background.

CLARK: No. I'm just worried I'm a jinx.
JONATHAN: A jinx?
CLARK: Yeah. Let's face it, ever since she's known me, Lois's been kidnapped, frozen, pushed off buildings, almost stabbed, poisoned, buried alive and who knows what else, and it's all because of me.
-"Contact" (You're not her jinx, you're her blessing.)