It;s probably too late a date to look at the baptisms to see if the parish clerk or vicar or priest entered a fathers name based on local knowledge, which did happen alot in the irts half of the 1800s as single women giving birth were taken before the vestry committee or the parish constable to be questioned or 'examined' as to the father of the child to avoid the parish having to support the child and mother, the father was then served with a filiation order and made to pay support.
Yet in rural parishes this did carry on and so you may be lucky, depends where it happened and whether the mother would need support.