This month's “Desperately Seeking Sons” candidate is King Baldwin I of Jerusalem.
Only the second King of Jerusalem, Baldwin was married three times during his life, and even courted controversy with his third marriage as his second wife was very much alive and very cross with how she had been treated. Historians have debated Baldwin's treatment of the women in his life, with some suggesting that he was homosexual (which may also explain why he doesn't appear to have fathered any children, legitimate or otherwise). But with so little information about his wives and their marriages, making a guess at his sexuality is difficult.