King Alexander Jagiellon's Heirs

Admittedly, this is a stretch, but OTL Alexander of Poland was married to Elena Ivanovna of Moscow, and died childless, being succeeded by Sigismund I on his death in 1506. However, Elena was pregnant twice (1497 and 1499), but miscarried both times.

Now, say Elena had birthed a live child, who lived to succeed his father as king of Poland and grand duke of Lithuania - Alexander II (or John II, IDK). On the surface, it doesn't seem like much, but what happens if and when the Muscovite/Russian line of succession starts looking none to secure - for instance, Vasili III dies without a son and heir (and considering his brothers weren't allowed to marry until he had said son and heir, it's probably not inconceivable that they would do so here - Yuri Ivanovich had no children, and Andrei Ivanovich of Staritsa only had one before he died).

*I know, this needs to keep a pretty close-mesh butterfly net in place...
 
I think Sigismund would still succeede his brother on Polish throne-Poland was elective monarchy, altought election was limited to members of Jagiellon dynasty, Alexander's son would be only 9 or 7 years old by the time of father's death. Poland has child king before-Vladislav III took the throne at age 10, but beside his younger brother he was only living Jagiellon then. Polish-Lithuanian union was also more dynastic than personal-after death of Jogaila his older son became king of Poland when younger one succeeded him in Lithuania, also after death of Casimir IV thrones were divided between John Albert and Alexander. I suppouse that situation would repeat with Sigismund's line on the Polish throne and Alexander's line on Lithuanian.
 
I think Sigismund would still succeede his brother on Polish throne-Poland was elective monarchy, altought election was limited to members of Jagiellon dynasty, Alexander's son would be only 9 or 7 years old by the time of father's death. Poland has child king before-Vladislav III took the throne at age 10, but beside his younger brother he was only living Jagiellon then. Polish-Lithuanian union was also more dynastic than personal-after death of Jogaila his older son became king of Poland when younger one succeeded him in Lithuania, also after death of Casimir IV thrones were divided between John Albert and Alexander. I suppouse that situation would repeat with Sigismund's line on the Polish throne and Alexander's line on Lithuanian.

Okay, so Lithuania might splinter away from the Union. If your Alexandrine Jagiellons are ruling only Lithuania, would that make them more or less palatable to the Muscovites if they run out of Rurik males?
 
I think Sigismund would still succeede his brother on Polish throne-Poland was elective monarchy, altought election was limited to members of Jagiellon dynasty, Alexander's son would be only 9 or 7 years old by the time of father's death. Poland has child king before-Vladislav III took the throne at age 10, but beside his younger brother he was only living Jagiellon then. Polish-Lithuanian union was also more dynastic than personal-after death of Jogaila his older son became king of Poland when younger one succeeded him in Lithuania, also after death of Casimir IV thrones were divided between John Albert and Alexander. I suppouse that situation would repeat with Sigismund's line on the Polish throne and Alexander's line on Lithuanian.
Or reverse, the Alexandrine rule Poland while Sigismund's rule Lithuania - the eldest son of Alexander marries Bona Sforza..
 
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