But he was twice put down before lunch off Udal, by Scott Newman and Sam Robson.
Last week, Surrey opener Scott Newman opted to join Middlesex on a three-year contract.
The home side soon lost Scott Newman (48) and Abdul Razzaq (7) and were not able to recover.
Scott Newman (58) and Mark Ramprakash (55 not out) gave their side hope.
Paul then removed Scott Newman in the first over of England A's second innings, before Michael Lumb fell lbw for 13.
The visitors resumed their first innings on 228-3 but soon lost centurion Scott Newman (126), sparking a collapse of 7-22 to be 263 all out.
Scott Newman, Mark Butcher and Usman Afzaal all came close to half centuries but Chris Tremlett's 5-67 ensured the visitors were all out for 278.
But he, Scott Newman, and Mark Wagh were all dismissed inside 14 overs by Tahir, as the Bears tried to take advantage of the overcast and warm conditions.
He had John Simpson lbw for a first-ball duck in his opening over before angling one across Scott Newman to have the left-hander caught low down at second slip.
Ramprakash, who finished on 112 not out, and Scott Newman clocked up a stand of 259 before the match was called off soon after Yorkshire's David Wainwright had bowled Newman for 129.
Surrey's innings got off to a terrible start as they slipped to 10-3, with their top three of Scott Newman, James Benning and star man Mark Ramprakash all managing just a single apiece.
Darren Pattinson gained two early blows in successive overs, having Mark Ramprakash caught by Will Jefferson at the second attempt at second slip and yorking Scott Newman middle stump to reduce Surrey to 17-3.
He was out to a mis-timed drive at Murtagh, who finished with 3-43, as Scott Newman ran back at mid-on to take a fine catch, but Hussey and Smith saw their side to victory in the 48th over.
BBC: Cameron White hundred sets up Aussie win over Middlesex
James Harris nipped one back to trap Scott Newman leg before with the fifth ball of the home side's second innings, before David Harrison had Sam Robson caught at second slip by Jamie Dalrymple in the following over.
Special guests on the August trip include Keillor, along with fellow cast members from the radio show -- Tim Russell, Sue Scott and Fred Newman -- and numerous musical guests, such as The DiGiallonardo Sisters, Bob Douglas and Richard Dworsky.
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