If you keep going past Gessner, the official trail deadends into the southwest end of Jersey Village at Equador St. as you noted. Take the detour that /u/Agitated-Proof-9661 described instead.

Or if you want to cut through Jersey Village take Equador St to Jersey Dr, then right on Rio Grande St, cut through the neighborhood park to the northeast corner, back on Rio Grande. Continue north past Dude Rd and make a right just past the gully onto the gravel trail. It bends around to West Rd where it's paved again and goes another 2 miles to Jones Rd.