The party also won a fourth seat in Redditch's Arrow Valley East with Martin Jenkins elected as councillor.
Wasim jaffer (12) was the only one to miss out, edging an outswinger from Robin Martin Jenkins in the 17th over.
However, last man Jason Lewry held firm with Martin-Jenkins in the final seven overs, the last of which Martin-Jenkins coolly played out from Kumble.
And Lancashire could only add seven more before Martin-Jenkins had Oliver Newby caught by Rayner.
Anil Kumble took 3-57, Shanthakumaran Sreesanth 2-47 and RP Singh 2-28 but Martin-Jenkins took his side to 190-9.
But the star of the day for Sussex was Martin-Jenkins, who produced his best figures since May 2007.
Robin Martin-Jenkins, Mushtaq Ahmed and Saqlain Mushtaq shared all 10 wickets between them with Naved off the field.
Test Match Special commentator Christopher Martin-Jenkins, father of Sussex all-rounder Robin, believes Mushtaq was the pivotal player in 2003.
"Obviously Mushtaq Ahmed is the one who has made the difference, " Martin-Jenkins said.
In the early 1970s, Christopher Martin-Jenkins and Henry Blofeld were introduced to the team and are still there today.
But Tahir's dismissal was a touch more self-inflicted, run out second ball by Robin Martin-Jenkins' throw from third man.
Robin Martin-Jenkins was also back in the dressing room in the next over after pulling Richardson to Jamie Spires at mid-off for 33.
That included a seventh-wicket stand of 82 between Francois du Plessis (54) and home captain Glen Chapple (39) before Martin-Jenkins wrapped up the tail.
Martin-Jenkins would like to encourage finger-spinners and better batting techniques by returning to uncovered pitches - something not seen in English cricket since 1980.
And Robin Martin-Jenkins was left unbeaten on 55 off 71 balls.
BBC: Hall starts with a win as Northants squeeze past Sussex
Du Plessis and Chapple stayed together for 24 overs before Martin-Jenkins sparked a collapse that saw the home side slump from 223-6 to 236 all out.
With Martin-Jenkins' own death, "cricket has lost one of its greatest champions, " said England and Wales Cricket Board (ECB) Chairman Giles Clarke in a statement Tuesday.
Writing in The Times, Martin-Jenkins says a maximum of 16 full-time professionals only should be contracted to a county and he insists on a salary cap.
But when Patel mis-timed a drive at Robin Martin-Jenkins' first ball it began an astonishing collapse which saw six wickets fall for six runs in 24 balls.
Sean Ervine followed, taken at backward point, and Lamb became Rayner's fourth victim just before bad light ended play an over early with Martin-Jenkins having also struck twice.
Martin-Jenkins gets up on tip-toes and drives imperiously for four.
After Kyle Hogg was run out by Dwayne Smith in only the fourth over of the day, Martin-Jenkins had to wait to make an impact in what play was possible.
Earlier, there had been a stunned silence around the County Ground when Marcus Trescothick drove the first ball of the game from Kirtley in the air straight to Robin Martin-Jenkins at mid-off.
Patel removed Mike Yardy (34) and Martin-Jenkins (three) with successive deliveries in the penultimate over while Sussex's cause was not helped by the needless run outs of Piyush Chawla and Andrew Hodd.
He and Martin-Jenkins extended their sixth-wicket partnership to 171, and when Lewry struck twice in his first two overs Lancashire were on the ropes, but Law and Cross ensured the race for the title remains intriguingly poised.
BBC: SPORT | Cricket | Counties | Law rules as Lancashire hit back
Medium-pacer Martin-Jenkins trapped Dinesh Karthik lbw and saw Gautam Gambhir top-edge an attempted cut to backward point, while Michael Yardy's left-arm spin removed Kumble and Sreesanth with successive balls in the first over after lunch to leave India in disarray.
James Hildreth never looked entirely comfortable in making 14 off 30 balls before falling lbw to Martin-Jenkins and it was 39-3 when the decision to promote Ben Phillips in the order backfired as he was bowled by a full-length ball from Yasir Arafat.
In the 7.3 overs possible before lunch, Adam Lyth made a 10-ball duck - bowled by Jason Lewry - and after having to start his innings three times, number three Anthony McGrath eventually went in the afternoon for three off the bowling of Robin Martin-Jenkins.
Having already added 44 overnight, they had stretched that to 127 in 31 overs when Robin Martin-Jenkins trapped Berg leg before playing across the line to claim his sixth wicket of the match and 22nd of the season - only one fewer than he managed throughout 2009.
This statement was in reference to comments made on twitter by Bethan Jenkins AM, where she described Sinn Fein's Martin McGuinness as "naive" for agreeing to meet the Queen, and after Argentine diplomats tried to win the support of Elfyn Llwyd MP for their claim to sovereignty over the Falkland Islands.
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