Have just realised I should have put this on the European board, whoops

sorry, I'll put it in there instead.
I wonder if anyone can help me prove a suspicion I have:
I have found the wife of a distant cousin is called Florentina M Benson, born c1837 in Elsinore, Denmark. She married Robert Henry Williams in Kensington, London in 1857. (As this family is not on my main line id rather not have to buy a copy certificate, to get parent info etc, if I can find the info some other way).
I have found this entry on familysearch:
from Denmark Baptisms
Name: Florentine Mariane Baggesen
Gender: Female
Christening Date: 14 Jun 1836
Christening Place: TRINITATIS,KOBENHAVN,KOBENHAVN,DENMARK
Birth Date: 05 May 1836
Father's Name: Berkmann Ludvig Baggesen
Mother's Name: Marie Johanne Lund
Indexing Project (Batch) Number: C20106-6 , System Origin: Denmark-ODM , GS Film number: 44561
I think the name sounds very similar and was wondering if this could possibly be the same person. Though I know Copenhagen isn't the same place as Elsinore. I wonder if there are any records available in Denmark which would show her living there rather than in England and thus disprove my theory? Any help or suggestions would be gratefully received.