Were it not for the kids, I would like to think I could give her an ultimatum and walk away. The truth is I don't know.
How could you? Aren't we usually programmed to connect with trust and then build a family?
The 3 texts sound like she is seeing something new in you that she loves. You are giving her time, being supportive, offering your hand without chasing her down. But...do you want her back, or are you unsure?