The United States federal census schedules for 1850, 1860, 1870, 1880, and 1900 contain the names of and demographic information about all residents of households at the time the census was taken. The earlier census schedules include only the heads of households.
Heads of Families of the First Census of the United States, taken in the Year 1790. Vermont.
Vt. Coll. HA671.5 1790b
Heads of Families of the Second Census of the United States, taken in the Year 1800. Vermont.
Vt. Coll. F48 U55
Second Census of the United States [1800]
Microfilm #598
Third Census of the United States [1810]
Microfilm #599
Fourth Census of the United States [1820]
Microfilm #600
Fifth Census of the United States [1830]
Microfilm #592
Sixth Census of the United States [1840]
Microfilm #593
Seventh Census of the United States [1850]
Microfilm#594
Eighth Census of the United States [1860]
Microfilm #595
Ninth Census of the United States [1870}
Microfilm #596
Tenth Census of the United States [1880]
Microfilm #597
Twelfth Census of the United States [1900]
Microfilm #624
Thirteenth Census of the United States [1910]
Microfilm #625
Fourteenth Census of the United States [1920]
Microfilm #741
Fifteenth Census of the United States [1930]
Microfilm #868
The original 1890 population schedules for Vermont were destroyed by a fire in Washington in 1921. There are name indexes to many of the census schedules listed above:
Vermont 1800 Census Index
Vt. Coll. F48 V56 2000
Vermont 1810 Census Index
Vt. Coll. F48 J3
Vermont 1820 Census Index
Vt. Coll. F48 J32
Vermont 1830 Census Index
Vt. Coll. F48 J325
Vermont 1840 Census Index
Vt. Coll. F48 J33
Vermont 1850 Census Index
Vt. Coll. F48 J332
Vermont 1870 Census Index
Vt. Coll. F48 S74 2000
The library pathfinder titled Guide to Genealogical Research in Vermontlists additional resources in our collection which may be useful for delving into family history.