There are several exceptions to a statute of limitations on birth injury.
Since birth injuries may take months or years to diagnose, the most common exception is the discovery rule. This law extends the deadline to file a claim if a family did not know that their child suffered a birth injury until after the deadline for the statute of limitations passes.
Additionally, if the defendant (usually medical professionals that delivered your child) left your state for any period of time, the deadline for the statute of limitations to end generally will be extended for however long they left the state.
There may be other various lawsuit filing protocols for unique situations if the plaintiff is a minor, disabled, or mentally ill. It is best to consult an experienced attorney to learn more about the birth injury statute of limitations that pertains to your case.