Hi Anne,
As the marriage was before Civil Registration began (1 Jul 1837) you are unlikely to find the father's name listed on the parish register entry. There will probably be witnesses listed and if they are related they may help you to pinpoint the family.
If you contact Cheshire Records Office they may be able to give you the full details of the register entry, or you can order a photocopy of the actual entry from their website for a smalll fee.
Jean