Morgan's Point, Texas 1415 E. Main Street, Morgan's Point, Texas 77571. Morgan's Point is located in Harris County. Population is 336. Our current tax rate is .60/100 |Welcome| |Historical Facts| |City Info| |Services| |Contact Us| |Directions| |Forms| |Internet Links| |Council Agendas| |P&Z Agendas| | Bd of Adj Ag| |EDC Agendas| |Election| |Eleccion| Copyright 2004-2006. SiteStudio Site Builder . All rights reserved.