Ismacs lists it as a Singer 27, serial number issued in 1901. Your machine likely doesn't have a motor boss cast into the right side of the pillar, if so was originally designed as a treadle machine. You may be able to find a Hamilton Beach or similar motor that stands behind the head. The L doesn't indicate the model #, Singer used a letter prefix and a serial number. Many different models were produced under each letter prefix, the model # was designated by the production run and it's corresponding serial numbers.