These are well-known historical facts.
Nobody starved to death in "famines" like the so-called Lancashire Cotton Famine. By contrast, in the Finnish famine starting the next year, almost 10% of the population of Finland died. As it turns out, that was the last famine in Finland because it became capitalist over the following decades.
England was a capitalistic economy in the 1850s, no?
There were no famines in the USSR from 1947–1991, but there was a variety of considerations such as monarchy, civil war, 2 world wars, and anti-communist sanctions from the 1890-1947 period, so if anything, it appears that the evidence would imply communism ended the famines, not caused them.
https://www.hawaii.edu/powerkills/COM.ART.HTM has more details, and https://en.wikipedia.org/wiki/Category:20th-century_famines lists some other examples, along with the odd non-communist famine. But none in liberal capitalist economies.