Albion claimed top spot in the Bond Street Trophies Premier Division by edging former leaders Sporting Dynamo 4-3.
Measham notched twice, with McNally and Thompson scoring once as Albion preserved their perfect record.
Bottom side Duke of Rutland drew 2-2 at home to Wykin.
Richards and Moore netted for Duke, with Farran and Wiggins replying for the visitors.
Hinckley Knight jumped above Thurlaston Magpies after defeating them 4-2. Hodgkins top-scored for Knight with a brace.
In Hardy & Draper Carpets Division One, the chasing pack all picked up points to close the gap on leaders Topps.
Market Bosworth extended their winning run to three by beating Tin Hat 3-2. Strikes from Aylesbrook and Gumbs, plus an own-goal, secured the win.
Daniel Smith hit four goals for Research Garage in their 6-0 victory over Barlestone St Giles.
Ullesthorpe missed a chance to move within one point of Topps, drawing 1-1 with Dunton & Broughton Rangers.
PWS Leicester Ltd Divison Two leaders Enderby Social dropped their 100 per cent record with a 1-1 draw at second-placed Stanton United Old Boys. Topp equalised for the hosts after Social took the lead.
Enderby Bullets earned their third consecutive win, thrashing Athletico Green 7-1 with Portess and Spencer each on target twice.
Flynns Park Rangers ended a run of three defeats by coming from behind to defeat Anchor Inn 4-3.
Westfield Wanderers returned to winning ways after five straight losses with a 5-1 success at eight-man Thurlaston Magpies Reserves, Ryan Brightmore hitting a hat-trick.
In Easy Laundry Division Three, the title-contending trio were all victorious.
Leaders Jackie's Bar won 4-0 against AFC Flynns Reserves, Hudson netting twice.
Second-placed Stoke Golding beat EST Lord Nelson 2-0, Tweddle and Chadwick on the scoresheet.
Plough Inn Bruntingthorpe kept up their unbeaten record in third place with a 4-1 triumph over Topps Reserves.
Blaby Foxes were 7-4 victors at Barn despite a first-half hat-trick from the hosts' Steve Billings. Reid top-scored for Foxes with two.
MP Steel inflicted a first defeat of the season on Chequers to move off the bottom of the table, winning 5-4.
In Flynn's Bar Division Four, Bulls Head extended their perfect start to eight with a 5-0 beating of Wolvey.
Lines Keogh United won 6-0 at Red Lion Earl Shilton to overtake their opponents in the standings.
Stanton United Old Boys Reserves recovered from 2-0 down to earn a point at Newstock Rangers.
Josh Johnson scored twice for Princes Feathers to help guide them to a 3-2 victory at EST Lord Nelson Reserves.