A famous bearer is Czech actor Vlasta Burian. She was born 9 April 1891, Liberec, Bohemia, Austria-Hungary. Date of Death: 31 January 1962, Prague, Czechoslovakia.
The name Vlastimil does not mean "power and favour" but Czech "vlast" is homeland, and "mil" is from Czech "milovat" = love. So the meaning of the name Vlastimil is man who loves his country, his homeland.