Possibly a transferred use of the name of Lake Erie or of the famous Erie Canal. In rare use in the US from the late 1800s to the 1910s and again briefly in the 1960s and 1970s.
From Japanese 絵 (e) meaning "picture", 里 (ri) meaning "village" combined with 恵 (e) meaning "favour". Other kanji combinations are possible.Usage of this name is, most likely, influenced by the name Eli 1.