Ok, the problem here is that you did not include the fact that you had a child with another woman both at the time when you obtained a green card and 3 years later when you applied for your naturalization.
The only way you can lose your US citizenship is if you committed willful and material misrepresentation or fraud. This means that the misrepresentation has to be intentional and material. Material means that if you had included the information in your green card application and naturalization petition, could the outcomes have been different?
Since you were obtaining the green card based on you marriage to a US citizen, a recent relationship to another woman leading to the birth of a child is material as to the bona fide of your marriage. Therefore, you do need to be concerned about this issue.
The USCIS can question you intensely regarding your marriage to the US citizen wife again and consider initiating procedures in Federal Court to take away your US citizenship.
On the other hand, if you continue to be married to the US citizen wife - through whom you obtained your Naturalization and green card - and you had children with her, then you will have a very strong ability to demonstrate that your marriage to the wife was in fact solid and bona fide. If you can be sure of this argument, that you can go ahead.
I strongly suggest that you have a detailed meeting with an immigration attorney to discuss all the details of your bona fide marriage with your US citizen wife and to make a decision if you believe that the marriage can survive any doubts regarding the bona fide. If you reach the decision that no one will doubt that you in fact married the US wife for love and that the child you had out of wedlock was the exception, then you should be able to go forward with the process of applying for an I-130 for your child.
To do so, you will have to legitimize the child under the laws of the Philippines or of the state you live in the US. If you do not wish to, or cannot, legitimize the child and want to file a petition based on a child born out of wedlock, you must show that you are the natural father of the child and that a real or bona fide parent-child relationship was established before the child marries or turns 21 years old. A bona fide parent-child relationship will be deemed to exist where the father demonstrates an active concern for the child's support, instruction, and general welfare for the child.
I wish you good luck. I hope I answered your question. Please let me know if you have other questions or comments.
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Please remember that the above information is provided to you by me as a service to the public. As legal advice must be tailored to the specific circumstances of each case, nothing provided herein should be used as a substitute for advice of competent counsel, nor can it constitute legal advice because this is a public forum and also because I do not have a full opportunity to fully review all possible facts in your case in confidence as I would in a one-on-one interview. As a result, the above is not legal advice, does not create an attorney-client relationship, is not confidential, and is strictly only for intended for general informational purposes.
Having said that, I do wish you all the best and please consider dropping a feedback (hopefully a positive one!). Thank you.