Are you applying for a Marriage Settlement visa, what we all call a fiance visa, or a Marriage Visitor visa?
The settlement option has a long list of requirements and is expensive. You are allowed to marry in the UK and stay in the country to apply for your Further Leave to Remain visa which starts your 5 year path to settlement.
The Marriage Visitor visa is also for 6 months but after you get married or the 6 months ends you are required to go back to the US to apply for a Spousal visa to be able to settle in the UK. It's less paperwork and MUCH easier to get and it's cheaper.