Well, aside from those two examples above, I’ll list several more for you to select from.
紀子 — could mean “child to commemorate/celebrate”
規子 — could mean “model (as in model citizen)/normal child”
教子 — could mean “teachable/cultured child”
典子 — “child of ceremony”
法子 — could mean “methodical child”, or “child of Dharma (in reference to Buddhist teachings)”
永子 — “eternal/long-living child”
賀子 — “celebratory/new year’s child”
花梨子 — “child of the flowery pear tree”
雅子 — “graceful/elegant child”
恭子 — “respectful/reverent child”
曲子 — “musical child”
賢子 — “wise child”
玄子 — “mysterious child”
順子 — “docile/orderly child”
悳子 — “virtuous child”
祈子 — “child of wishes”