I had this problem when i was younger , I dont know if you've introduced full fat milk yet but thats a good one too ..Although she is still lil you can try these . and check with the doc about the liver ? mine said it was fine but i was 8 months old when i first got it
Yop drinkable yogurt,
Beef ~ ground beef tossed with some noodles may entice her.
Liver - I don't like it but she might...
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(chicken, fish, beef, pork, goat, deer, lamb,), beans, eggs, iron fortified cereal, dark green veggies (spinach, broccoli), prune juice
The iron from meats (heme-iron) is the kind your body absorbs best, but many young children have a hard time eating them. Offering a vitamin-C food with the iron food helps increase absorption (split pea soup w/ham, tomato based chili w/beans, dry cereal w/berries).
You can also ask your doc about Poly-vi-sol with Iron there multi vits