Right, this is the way I see it going:
Confederate Monarchs:
House of Davis
1861-1873 - Jefferson I (died age 65)
1873-1878 - Jefferson II (died childless age 21)
1878-1880 - Margaret (abdicated age 25)
1880-1898 - Anne (Varina Anne Davis died childless age 34)
House of Lee
1898-1913 - George I (died age 81)
From there, anyones guess.
Confederate Monarchs:
House of Davis
1861-1873 - Jefferson I (died age 65)
1873-1878 - Jefferson II (died childless age 21)
1878-1880 - Margaret (abdicated age 25)
1880-1898 - Anne (Varina Anne Davis died childless age 34)
House of Lee
1898-1913 - George I (died age 81)
From there, anyones guess.