It's extremely difficult for me to cover all applicable rules in a post because I don't know what you have in mind and the local rules in Ohio aren't published. Here are a few guidelines:
- Her ASA classification and roster status is based strictly on ASA events, so playing other sanctions (NSA, USSSA, etc.) has no effect on them.
- The first ASA qualifier she plays in locks her onto that team's roster (i.e. redlines) for the duration of that team's championship play. Generally speaking, she cannot sub/guest for a team in a qualifier after she has been redlined on a team's roster and shouldn't do it if she wants to play on another team in a qualifier.
- She is eligible to be a pick-up player for nationals if she played in ASA events earlier that year and she's not redlined on a team that is going to nationals. She cannot be picked up by a 14u team if her regular team was older and/or she was redlined on an older team.
You will probably get better responses if you provide more information about her regular team's plans and what you're thinking about doing.