> In fact, US in the 19th century was much closer to laissez-faire ideals than today and went through a surge of private road and water channel construction (I could also mention railroads here, but if I'm not mistaken, they relied on government intervention to get the land).
A lot of canals and turnpikes were also built by the government--the Erie Canal and the National Road being preeminent examples. Contemporary railroads, such as the Baltimore & Ohio Railroad were usually private. Land grants for railroads were largely limited to the western railroads and for a surprisingly short period of time--only about 1850-1871 were major land grants being used for railroads.
Overall, railroads got roughly the same amount of government support as did canals and roads, maybe even somewhat less. Although this should generally be understood as all infrastructure more or less requiring generous amounts of government support.