I think it is probable that he was married, since this was the norm for the time and for the culture I think there would have been an explanation as to why he wasn't.  Kids would likely have followed

All cultures have norms - but all cultures also have those who don't fit those norms.  Celibacy has been a pattern for centuries; it would not have been hugely unusual for a man to remain celibate; perhaps even for the occasional woman to do so.