Cant see a close resemblance to any in this list I found online -
https://en.wikipedia.org/wiki/List_of_places_in_CornwallLaddenvean, Ladock, Ladycross, Laity Moor, Lamanva, Lambourne, Lamellion, Lamledra, Lamorick, Lamorna, Lamorran, Landewednack, Landrake, Land's End, Landulph, Lane, Lane-end, Laneast, Lanescot, Langore, Lanhydrock, Lanivet, Lanjeth, Lanjew, Lank, Lanlivery, Lanner, Lanreath, Lansallos, Lanteglos-by-Camelford, Lanteglos-by-Fowey, Lanteglos Highway, Lantuel, Lantyan, Larrick, Latchbrook, Latchley, Launcells Cross, Launceston, Lavrean, Lawhitton, Leburnick, Leedstown, Lelant, Lelant Downs, Lellizzick, Lerryn, Lesnewth, Levalsa Meor, Lewannick, Lezant, Lezerea, Linkinhorne, Liskeard, Little Beside, Little Bosullow, Little Comfort, Little Petherick, Little Treviscoe, Lizard peninsula, Lizard, Lockengate, Lodge Hill, London Apprentice, Longdowns, Long Rock, Longships, Longstone (St Mabyn), Longstone (St Mary's), Looe, Looe Mills, Lostwithiel, Lower Amble, Lower Bodinnar, Lower Boscaswell, Lower Brynn, Lower Clicker, Lower Croan, Lower Lank, Lower Menadue, Lower Mill, Lower Penpol, Lower Porthpean, Lower Rose, Lower Town, Lower Trebullett, Lower Tregantle, Lower Woodley, Lower Woon, Lowertown, Lowertown-by-Helston, Luckett, Ludgvan, Luxulyan, Lynstone
Good advice trying another Census ...