This is Samuel and I will discuss this and provide you information in this regard
Here is the Link for you to review the Texas law on this issue As you can see there is no law mandating the budget, etc be posted or mailed or delivered to anyone and no more than one hearing is required. However, I suggest that the budget should be available for the asking by anyone wanting to review it before the hearing.
Sec. 102.006. PUBLIC HEARING ON PROPOSED BUDGET. (a) The governing body of a municipality shall hold a public hearing on the proposed budget. Any person may attend and may participate in the hearing.
(b) The governing body shall set the hearing for a date occurring after the 15th day after the date the proposed budget is filed with the municipal clerk but before the date the governing body makes its tax levy.
(c) The governing body shall provide for public notice of the date, time, and location of the hearing. The notice must include, in type of a size at least equal to the type used for other items in the notice, any statement required to be included in the proposed budget under Section 102.005(b).
Sec.(###) ###-#### ***** NOTICE BY PUBLICATION FOR BUDGET HEARING. (a) The governing body of a municipality shall publish notice before a public hearing relating to a budget in at least one newspaper of general circulation in the county in which the municipality is located.
(b) Notice published under this section is in addition to notice required by other law, except that if another law requires the governing body to give notice, by publication, of a hearing on a budget this section does not apply.
(c) Notice under this section shall be published not earlier than the 30th or later than the 10th day before the date of the hearing.
(d) Notice under this section must include, in type of a size at least equal to the type used for other items in the notice, any statement required to be included in the proposed budget under Section 102.005(b).