"Blend of Lee and Lynn"
The name Leelynn is commonly a unisex name from the "English" origin.
Leelynn is a modern American formation built from two common name elements, Lee and Lynn, both of which had long use as given names in the United States before this spelling appears. The name first shows up in US birth records in 1999, which fits a recent blend of those elements rather than an inherited name from an older naming tradition. No meaning beyond the two component elements can be assigned to it.
The pronunciation of Leelynn is LEE-lin.