This is the 6207th most frequent Polish word.
barania
"Barania" means "sheep's" (possessive form of "sheep" in Polish).
Here, 'barania' is an adjective meaning 'sheep's' that modifies the noun 'skóra' (skin).
Barania skóra jest wytrzymała na chłód.
Sheepskin is resistant to cold.
In this context, 'Barania' is part of a proper noun specifying a geographical location, 'Barania Góra' (Barania Mountain).
Na szczycie Barania Góra widok jest niesamowity.
The view from the summit of Barania Mountain is amazing.
Here, 'baraniego' is a case variant of 'barania', used as an adjective to mean 'sheepish', metaphorically describing incomprehension.