WI: Carola Vasa Has Issue?

I've never seen a thread like this, so I'm making one now.

Gustaf (V) of Sweden, son of the deposed Gustaf IV and Friederike of Baden, married his cousin, Louise of Baden and had two children before both went their separate ways: a son, Louis, who died in infancy, and a daughter, Carola, who converted to Catholicism when she married the king of Saxony, but unfortunately, left no children.

Now, I've never seen anything that says Carola couldn't have kids, or anywhere that says that she had a pregnancy gone bad or an illness which prevented her from being a mom. So, what if she and her husband, King Albrecht of Saxony, had had kids? I'll admit - it'll make Albrecht's brother, Georg, who married a Portuguese infanta ever so less insufferable (Fernando II of Portugal complained about Georg (after the slew of 1861 deaths) harping on about how it was good that he should've married the eldest daughter of the king of Portugal and that she might be queen of Portugal before she became queen of Saxony, but at least Lisbon would still have a Wettin king). Needless to say, most of the Portuguese royals didn't like Georg too much.
 
I'm thinking Carola would probably have her first kid in around 1855 (if not earlier), and she and her husband were apparently very much in love. If it's a boy, might we see him offered for Louise of Sweden? And if it's a girl, might she be offered for Oscar II's eldest son (as a way of smoothing over the differences with the Bernadottes?) Or would Carola and Albrecht be opposed to such a match?
 
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