No.
No, it is not a legally binding marriage.
It's perfectly legal for adults to elope. It's not legal for minors to runoff (absent from home without parental permission) or to get married without parental consent.
The legal age in Ohio to get married without parental consent is 18 years old.
No it is not legal.
The legal marriage age without parental consent in Texas is 18 years old. Exceptions can be made for individuals who are 16 or 17 years old with parental consent or a court order.
totally legal with parental consent
Texas: If you are between 16 and 17 years old, you may apply for a marriage license only if you have written parental consent on an official form in the presence of the county clerk or if you have received an order from the Texas district court authorizing your marriage.
In Nevada, you must have parental consent to get married if you are under 18. If you are 16, then you can get married in Nevada with parental consent. If you do have parental consent, then yes, the marriage would be considered legal in any other state. However, if you get married under false pretenses (fake id, forging consent signature from parent, etc) then the marriage is not legal in any state. It is illegal and invalid.
18
16-17 with parental consent. 18 and older without parental consent
18 without parental consent.
Without parental consent it is 18.