A.S.
I would say that this is too early, except that your daughter has such an appetite. I believe the 6 month rule, for most babies, is the minimum age for starting solids. Families with allergies, excema, asthma should wait even longer. We also have many allergies. I tried to wait, but my child needed solids at 5 months of age. (My older child waited much longer--he just wasn't interested.) When allergies are present in the family, try to limit or delay offering the most common offenders: wheat, corn, soy, eggs, dairy, sugar. You might wonder what else is there? I would offer her veggies first, then fruits, then meats, then grains. Most everyone offers grains first, but this often contributes to allergies and excema. This is advice from our pediatric allergist. It has worked well for us. A GREAT book on this subject is called, "Is This Your Child?" by Doris Rapp, MD. I highly recommend that you read this book.
Good luck!
Amy