I'm sorry that your question wasn't answered in a timely manner. Valentine is the opposite of broody at this time. In other words her motherly instincts aren't well-developed. You have a couple of choices. You can gather up these eggs and place them in a nest of your construction in her cage and see if she'll become broody. If your other finch is male you just might end up with more of the little birds. Alternatively, you can dispose of the eggs which generally isn't advised because that might encourage more egg laying. In this case, I don't believe that to be a significant risk because she's laying willy-nilly and not broody at all.
Be sure to boost up her nutrition so she can replace the protein and calcium used in egg making. Consider pelleted diets as can be found here: www.harrisonsbirdfoods.com/ or www.lafeber.com/pet-birds/, feeding hardboiled egg yolk, the tops of fresh greens, and dairy products such as yogurt and cheese. An avian vitamin such as Oasis brand and a calcium supplement such as Calciboost or Calcivet should be in her water. These supplements are found in pet/feed stores. Please respond with further questions or concerns if you wish.
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