Lloyd and Neil Fairbrother, himself no shrinking violet in the knock- about of the Axa Life League, capitalised on the absence of Dominic Cork and Phillip DeFreitas to pile on 128 from 18 overs and help Lancashire to 262 for 7.
Devon Malcolm hardly helped the Derbyshire cause by putting down a skier when Lloyd had made only 21. It proved an expensive miss and Gary Yates, having acted as a runner for Michael Atherton who has a groin strain, returned to hit a six off the last ball.
Derbyshire's chances were heavily dependent on Dean Jones, but after a short stoppage for rain which reduced Derbyshire's target to 252 from 38 overs, the Australian fell to Richard Green for 58. Karl Krikken made 36, but Wasim Akram wrapped up the tail, leaving Debyshire on 217 for 9 .
Mark Lathwell produced his best form at Taunton to inspire Somerset's first Sunday win of the season. The opener's 72 helped to carry his side past Glamorgan's 207 all out with 17 balls and six wickets to spare.
The highlight of his innings was a remarkable six over midwicket off Darren Thomas, executed with a minimum of back-lift. It took a fine diving catch at short midwicket by Matthew Maynard to dismiss him.
Glamorgan, who had lost the toss in heavily overcast conditions, also lost their openers Steve James and Hugh Morris without scoring. Although Adrian Dale, with 47, and Maynard, with 26, did their best to get the innings going and Tony Cottey hit four fours and a six in making 61, Glamorgan were not in a position to set a testing target.
England's Darren Gough, Richard Stemp and Craig White each took three wickets for Yorkshire in their 71-run victory over Hampshire at Southampton.
Hampshire collapsed, losing their last nine wickets in seven overs for the addition of 23 runs.
Defending a modest 227, Yorkshire bowled out Hampshire for 156 in the 36th over, with Gough taking three wickets at the death.
The Australian Darren Lehmann gave Yorkshire a smart start with 75, from 65 balls, before becoming one of four victims for the left-arm spinner Raj Maru, who finished with a career-best 4 for 29. Yorkshire lost their last seven wickets for 67.
Hampshire's openers, Jason Laney and Matthew Hayden, gave their side a hope, putting on 87 for the first wicket, and after Laney fell to White for 47, Robin Smith maintained the momentum. However, once he went with the score on 123 in the 29th over Hampshire subsided to defeat.
Warwickshire completed their first father and son captaincy double in 103 years with Neil Smith's appointment for the five-wicket victory over Northamptonshire at Edgbaston. The all-rounder followed in the footsteps of his father, Mike, a former England captain who led the county for 11 seasons until 1967.