VARNERS CREEK. Varners (Varner, Yarners) Creek rises eighteen miles west of Angleton in northwest Brazoria County (at 29°15' N, 95°44' W) and runs southeast for twelve miles to its mouth on the Brazos River at East Columbia (at 29°08' N, 95'37 W). An unnamed tributary of the creek forms Eagle Nest Lake in its upper reaches. The creek is probably named for Martin Varner, who received a grant of land on it in July 1824. It crosses low rolling to flat terrain, with some shallow depressions, surfaced by sandy and clay loam that supports mixed hardwoods and pines, water-tolerant hardwoods, conifers, and grasses.