From the internet research I've conducted because my husband and I are currently going in the midst of a custody battle for his 10 year old daughter (my step-daughter), I've found that the only state which has a written law where a child can choose which parent to live with is Texas, and that age is 10. Every other state has no written law, though usually the courts see 12 as the possible age where a child can express their opinion on which parent they would prefer to live with. The judge can always discount the child's opinion. Don't hold me to this, but this is how I understand the information I've found online.
nosee links
No there is no need for the child to go to Texas.
If the noncustodial parent tries to keep the child, the custodial parent can get the noncustodial parent charged with kidnapping and contempt of court both can be jail time for the noncustodial.
can noncustodial parent parent claim 1 child if divorce with 2 kids
no
You need parental consent to move until you are 18.
if the child doesn't want to see the noncustodial parent he doesn't have too. don't force him to do it =)
Generally, no.
no
When they are 18.
Child support in Ohio usually continues until the child is 18, and up to the age of 21 if the child is in school. Whether or not you have to pay child support if the child is living with the noncustodial parent depends on the support order that it is in place Typically you can expect that you will have to expect to pay support.
The one who would be responsible for the child during that time which would be the non custodial parent.