Several lives in two syllables
In English, baba is a rum-soaked yeast cake, a grandmother, a father, and sometimes a holy man. Menus print rum baba. Slavic families use the same shape for an old woman. Speakers of Hindi, Urdu, Persian, and Turkish hear a respectful elder. The letters match; the histories do not. The origin of the word baba is a cluster of borrowings that happen to look alike.
Nursery speech explains the coincidence better than a single pedigree. Infants produce ba, ma, and pa early, and languages keep turning those sounds into kin terms. Slavic settled on the grandmother. Persian, Turkish, and several South Asian languages settled on the father. English later took in both, plus a French pastry name that is itself the Slavic grandmother in disguise.
The cake that arrived through French
Most general dictionaries treat the dessert as the main English headword: a small, yeast-leavened cake, often with raisins, baked in a mold and soaked in rum syrup. That sense came from French baba. French had taken both the name and the cake from Polish baba, which meant an old woman or a country woman. French academic lexicography places the borrowing in the eighteenth century and calls the Polish source onomatopoeic. English print of the pastry is early nineteenth century. One major American dictionary dates the noun to 1813; other notices cluster around 1820–30, with 1827 often cited. The disagreement is a few years, not a different route.
The cake’s path into France is a court story with a stable outline and disputed details. Stanisław Leszczyński, twice king of Poland and later duke of Lorraine, is credited with bringing a Polish yeast cake — baba or its diminutive babka — into French kitchens. In Lorraine he met kouglof, the tall, fluted Alsatian bun close enough to the Polish form to feel familiar. Tradition says he found the local cake dry and had it soaked in wine, often Tokaji or another sweet wine, as Polish bakers sometimes soaked theirs. His pastry cook Nicolas Stohrer is folded into the same account; some versions give Stohrer the soaking, the fruit, and the cream. What is not in serious dispute is the household. Marie Leszczyńska, Stanisław’s daughter, married Louis XV in 1725. Stohrer went with her to Versailles and in 1730 opened a shop on the rue Montorgueil in Paris. Rum replaced wine there in the 1830s: cheaper than Tokaji, and better suited to pastry. Outside Central and Eastern Europe, baba now usually means that rum-soaked bun.
A later anecdote claims Stanisław named the dessert after Ali Baba, a favorite from the Arabian Nights. Cookery writing likes the joke. Historical dictionaries do not. They stay with Polish baba, old woman. The Ali Baba story is overlay, not etymology.
The grandmother inside the mold
Polish baba was not coined for pastry. It is the ordinary Slavic word for grandmother and, by extension, an old woman. It continues Proto-Slavic *baba, from a Balto-Slavic nursery form. Cognates sit across the family: Russian baba, Czech bába, Slovak baba, Bulgarian баба, Serbo-Croatian baba. Diminutives keep the root: Polish babka and babcia, Russian babushka. English later borrowed babushka as well, first for a grandmother and then, in American use, for a headscarf tied under the chin.
The cake took the woman’s name because of shape. A babka is baked tall and pleated, like a skirted figure. Slavic also used baba and babka for ceremonial breads long before rum entered the recipe. A Polish dictionary of 1743 already defines baba ciasta, a dough baba, as a yellow cake. So the English dessert word is, at one remove, a kinship word. When English speakers of Eastern European background call a grandmother baba, they are using the source sense, not a metaphor cooked up in a Paris kitchen.
Father, elder, saint
A second baba entered English from the other direction. Hindi and Urdu bābā mean father and male elder. Persian bābā and Ottoman Turkish baba belong to the same nursery set, the sort that also yields European papa and, further out, pope. The Oxford English Dictionary’s earliest English evidence for this strand is 1759, in travel writing through Asia Minor, from Ottoman Turkish and also Albanian. Other dictionaries date a Hindi–Urdu route to the late 1760s or 1770s. From father the word stretched to a holy man — a title of respect — and in British India it could even mean a small child. The Ali Baba of the tale is this affectionate father-word, from Persian, not from Polish baking.
These two English nouns look like twins because baby talk keeps inventing them. They are not one lexeme that drifted from grandmother to rum cake to guru. They are homonyms that arrived on different ships, about half a century apart.
What the record does not support
There is no need to force a single ancestral root through every baba in English. The Slavic grandmother and the Persian father share a phonetic habit, not a documented loan from one to the other. Chinese baba for father is another independent nursery form. English babe and baby are sometimes set beside the Slavic word, and the baby-talk parallel is real, but babe is a native development, not a borrowing of Polish baba.
Nor should the pastry legends be flattened into one inventor. Sources disagree on whether Stanisław himself soaked a dry kouglof or whether Stohrer did the work, and on whether the first soak was Tokaji, Malaga, or Madeira. Rum is later, Parisian, and fairly well dated. The Polish name is earlier and better agreed.
One fact that sorts the file
Keep the split dating. The respectful father-word is in English by the mid-eighteenth century. The cake is not securely there until the early nineteenth, after French kitchens had already made baba a pastry term. Same spelling, two entries, and a grandmother standing behind the mold.