Well, the idea of kids as eggers... not so much something I see as being viable (though, I'm sure there's some backwater research that's been done on the idea).
On the original topic, Inara has a 10yr old Amarrian daughter that she adopted a few years back. Spends every Friday evening and most of Saturday when she's not in the pod with her too. The origin story is rather dark, and Jall'n was forced to 'grow up' faster than she should have (her mother was blown up when their transport ship popped, and her father was ritually sacrificed/murdered in front of her). But after some therapy, and a new very caring environment, she's adapting fairly well; still has nightmares on occasion though.
Fortunately, the chances of kidnapping are slim due to security. And since her existence is relatively little-known, not many of Inara's enemies would consider trying (and most of Inara's enemies probably don't consider Inara capable of having emotional attachments to another person because she's ebil).