sentences:  In Texas, constables and their deputies are fully empowered peace officers with county-wide jurisdiction and thus, may legally exercise their authority in any precinct within their county.However, some constables’ offices limit themselves to providing law enforcement services only to their respective precinct, except in the case of serving civil and criminal process.Constables and their deputies may serve civil process in any precinct in their county and any contiguous county and can serve arrest warrants anywhere in the state.