A small portion of the city of Houston lies in Fort Bend County. In that area of the city, Locke leads with 90 percent of the vote. The vote count in Fort Bend early voting is 893 to 94 votes.
Volunteers at Parker headquarters said those numbers are expected in that part of the city.
Two other gay candidates are on the ballot. Both trail in early voting.
Incumbent Sue Lovell is at 48 percent in her race.
Lane Lewis has 30 percent in his race.