In the "Ages of early prophets and their wives thread", there was a statistical discussion over marriage ages in the 1800s. I went and found access to the complete 1850 and 1880 census as well as 5% of the 1900 census (I used the "Integrated Public Use Microdata Series" located at https://usa.ipums.org/usa/).
The 1850 and the 1880 census has the age and marriage status of each person but doesn't have the age at which they were married. They have two data points that you can try and guess