Below is an extract from an NALC document.
The election of a chairman of a local council by and from the among the other councillors must be the first business of the annual meeting of the council (11) May.
In a year of elections to a local council, the annual must take place on or within 14 days after the day on which the newly elected councillors take office (12). The Chairman must sign and deliver a form (the same statutory prescribed form (13) that he and other councillors used to accept office as a councillor) which confirms his acceptance of this special office May.
The Chairman must do this at the meeting at which he is elected or by a later date. if this agreed by the Council (14). The Chairman holds office until the next annual meeting of the council when his successor is elected (15). If the Chairman ceases to be a councillor following an election he and the Vice-Chairman, if there is one, continue in office until a new Chairman is elected at the annual meeting that year (16). The outgoing Chairman (of Vice-Chairman if the Chairman is not present) presides at the annual meeting until the new Chairman is elected. if the Chairman of a council dies, or resigns from his office as a councillor or from his office as a Chairman, or otherwise cannot continue as councillor, a meeting of the council must be convened to elect a new Chairman from among the councillors (17). A council is not lawfully constituted without a Chairman (18).
A local council may but is not required to elect a deputy to the Chairman of the council (19). Usually a council will appoint a Vice-Chairman because, subject to the standing orders adopted by a council, he may act as the Chairman of the council, for example in the absence of the Chairman (20). Unless he resigns from his office as a councillor, the Vice-Chairman of a local council holds office until immediately after the election of a Chairman of the council at the next annual meeting (21).
References in RED: CLICK
11 Local Gov Act 1972, section 15 (2)
12 Local Gov Act 1972, schedule 12, paragraph 7 (2)
13 Local Elections (Declaration of Acceptance of Office Order 2012/1465 schedule 1
14 Local Gov Act 1972, section 83 (4)
15 Local Gov Act 1972, section 15 (4)
16 Local Gov Act 1972, section 15 (8)
17 Local Gov Act 1972, section 88
18 Local Gov Act 1972, section 14 (1)
19 Local Gov Act 1972, section 15 (6)
20 Local Gov Act 1972, section 15 (9)
21 Local Gov Act 1972, section 15 (7)