The word influence actually comes from the latin word influentia which was used about stellar (astrological) effects on humans, caused by the stars. Nowadays, it is used for any general cases where distant effects of some sort may be manifest.
... of 2000, there are 3,057 people, 1,007 households, and 753 families residing in the village. The population density is 529.3/km² (1,369.6/mi²). There are 1,031 ...