From Realm of St. Stephen:

Each branch of the kindred – that is, every son of the ancestor along with his descendants – was entitled to an equal share of the inheritance.  However, since the division broke the ties that had hitherto linked the ‘brothers’ to one another, henceforeth, each branch was to form a new findred, within which the same rules were again operative.

The Golden Bull of 1222 had presribed that a daughter who had no brothers was entitled to a ‘daughter’s quarter’, that is, to one quarter of her father’s patrimony, and it was to be inherited by her sons.  The consequential dismemberment of the patrimony was prevented by new rules from the early fourteenth centrury.  Henceforth, a daughter was to recieve the equivalent of her quarter in money or movable goods, the land itself remaining in the hands of her kinsmen. (p. 176)

Whether or not a courtier, every nobleman (remember there were thousands~G) set out in life to increase the estates of his kindred, the quantity of land being the measure – practically the only measure – of social rank…The conflicts that had decisively set the two groups (courtiers and country nobles) against each other by the end of Louis’ reign (1382) derived mainly from these differences…when Louis confirmed the Golden Bull in 1351, he invalidated the (paragraph allowing nobles to choose their heir from their male kinsmen) and explicitly forbade childless nobles bequeathing their property.  "They should in fact have no right at all to do so," he ordained, instead their estates "should descend to their brothers, cousins and kinsmen."

(But) In 1343, immediately after his accession, Louis (separately) introduced completely new principles…If the male line died out ‘by deficiency of seed’, the estate was to revert to the Crown.

Furthermore…

The nobility had thus been split into two unequal parts.  The small proportion of noblement who lived at the royal court had easy access to offices, estates and privileges.  They could contract profitable marriages and were in most cases able to bequeath their advantageous position to their sons….Whereas his fellows in the kings entourage amassed enormous riches, the provincial nobleman saw his fortune melting away.  Not only was he unable to acquire new land, he had also to fear for his ancestral estates.

So here’s a very good reason for a fairly free (= noble-born, but works like a peasant) daughter to leave Hungary, circa 1350-1400.  She’d inherit her mother’s movable goods, but the men she’s allowed to marry are losing their lands all around her.  Since they’re not descended directly, the cousins of the landowning nobles, although technically noble themselves, can’t offer a girl much.  And obviously, the power of the Crown is increasing exponentially.