did it lead to any war?
The Toledo War of 1835-36.
Toledo War
The Toledo War (1835–36), also known as the Great Toledo War, the Michigan-Ohio War or the Ohio-Michigan War, was an almost bloodless boundary dispute between the U.S. state of Ohio and the adjoining territory of Michigan. 
why did ohio and michigan have such conflict over their state boundaries The governments of Ohio and Michigan both claimed jurisdiction over a region along the border, now known as the Toledo Strip.
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Toledo War [SEP] Introduction
The Toledo War (1835–36), also known as the Great Toledo War, the Michigan-Ohio War or the Ohio-Michigan War, was an almost bloodless boundary dispute between the U.S. state of Ohio and the adjoining territory of Michigan. Poor geographical understanding of the Great Lakes helped produce conflicting state and federal legislation between 1787 and 1805, and varying interpretations of the laws led the governments of Ohio and Michigan to both claim jurisdiction over a region along the border, now known as the Toledo Strip. The situation came to a head when Michigan petitioned for statehood in 1835 and sought to include the disputed territory within its boundaries.