First, you need to find out what the court records say. Order a certified copy of the Final Disposition or Judgement entered. This should be reviewed by an immigration attorney to determine what impact it may have on your naturalization, and possibly by a criminal defense attorney to understand your record, if any . Your job background check should also be reviewed. It may simply state that you were accused of, not charged, of battery. Get a lawyer.
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If it was in Harris county, consult with an immigration lawyer in the area who is able to pull up your record and advise you accordingly.
The answer provided is general in nature and should not be construed as legal advice as not all facts are know by the attorney, nor does the answering of this question create an attorney client relationship.