So, guess who's the coach for both kids' teams?
Nate, coach of Noah's team, the Diamondbacks
And yes, they overlap. Sometimes the games themselves even overlap! Nate missed the first part of the t-ball opening ceremony because he was at another park coaching Zachary's soccer game.
Nate's very patient with all the kids and has to keep reminding the parents that the important part is not whether they win or lose, but that the kids learn skills and have fun.