Is this George Hunt, soldier? (I just looked at Rootsweb)
I think the crossed through G on the baptism entry is very significant as it suggested the father's first name began with G and so matches with Louisa Mary's marriage certificate. I would hope she therefore does indeed know the name of her father (if you were making up a name as so many did, it would be usual to use your own surname for obvious reasons!), though whether his occupation of soldier is correct is perhaps a little more troublesome. If you wanted your daughter to think there was a good reason her father was not around, then this occupation would work as a reason even if it wasn't the truth.
Here's a link to the Rootsweb thread in case anyone else wants to read it (I hope it's the right one lol)
https://www.rootschat.com/forum/inde...topic=813271.0