SE Hants only needed four runs to win off the final over and just one for victory with two balls left.
But Smith, who finished with 3-16, had Sixers captain Tim Seve caught to tie the match.
Fair Oak lost their other match to an Ollie Breckon inspired Bournemouth, who won both their games.
Brechan hit an unbeaten 38 in the Lions two-wicket win over Fair Oak and retired with 27 as Bournemouth chased down a SE Hants Sixers total of 148-4 to win a high scoring affair by five wickets.
Fair Oak 106-3 (Abbas 28*, Smith 15*) Bournemouth 107-4 (Brechan 38*, Abbas 2-15).
Bournemouth won by two wickets.
South East Hants Sixers 148-4 (Zaman 35*, Pratt 35*, Woolf 20) Bournemouth 150-1 (Brechan 27*, Fisher 26*, V Pack 23, Kitson 22). Bournemouth won by five wickets.
Fair Oak 119-5 (White 29*, Reed 24, Pratt 3-28) South East Hants Sixers 119 (Pratt 29, Woolf 23, Wilkins 17, Smith 3-16). Match tied.
Sunday’s fixtures: 6 Hook & Newnham Hurricanes v Compton & Chandler’s Ford, 7 Hook & Newnham Hurricanes v South East Hants Strikers, 8 Compton & Chandler’s Ford v South East Hants Strikers.