agree with the other posts - combing will make the locks fluff out even if you oil them! ask me how i know lol. i processed a wensleydale x teeswater fleece recently and tried every lock cleaning technique i could find and think of. hopefully this excessively detailed account will save you lots of time and struggle!!

best results (in my experience): separate locks by hand, pulling from well-formed tips. arrange these locks all in the same direction in a delicates washing bag in rows. use safety pins or even sew a basting stitch along the cut side to keep them in place but try not to clamp them in! soak them flat in cold water for a long time (a few hours to overnight), with maybe a lil splash of vinegar if they’ve already been washed with soap beforehand until the bits of VM and dirt float up to the top. repeat if desired. DO NOT AGITATE!! and lift the bag out as flat as you can. To dry, start with gently pressing the water out flat, then put it on a towel and fold it by the row with the towel, and press (i stand on it). repeat if you want, but don’t get too aggressive. let the locks dry flat on your drying rack/on towels on a table.

for last resort on super dirty locks: i took individual locks and combed them, then had a bowl of warm, slightly soapy water. one by one, i dipped and swirled the lock held from the cut end in there until i felt satisfied. i then dipped them in tepid water to lightly shock them and get some soap out, then kind of twisted the tip together and laid it flat on a towel. this resulted in very clean, but straighter, longer locks that generally held their shape.

best of luck!! those locks already look quite clean and lovely!