Certainly the same couple - the father isn't just "Johannes Börjesson" but "traktör Johannes Börjesson", and I very much doubt the existence in such a tiny place of TWO tavern-keepers with the same name - also having relationships with women with the same first names, same age (mother's age given as 31, corresponding well with "your" Anna Greta's birth year 1818) and daughters born the same day with the same names.
Anna Greta's last name in the birth record is an obvious mistake: it's given as Anderssson (yes, three "s"...), a male patronymic. The vicar was thinking of something else when he wrote this record. It happened all the time but is a bit disconcerting when you see it for the first time.
They were married 15 Feb 1850. The first date, 13 Jan, was the first reading of the banns (done three Sundays in a row).