The key to discovering which potter made your bowl depends on your ability to read the exact number that appears on the raised panel on the bowl's bottom. The number is a "registration number" (the "Rd" that precedes the actual number... don't ask). I can see from your photo that the number begins with a "3." That means that if the number is 5 digits long, either the pattern or the shape of the bowl was registered in 1885, which would be the earliest date that could be given the bowl, and if the number is 6 digits long, it would have been registered sometime between 1897 and 1902, depending on the second digit. Records in England would contain the exact registration details for each number, (potentially revealing to you the potter) but by now there are over 2 million registration numbers, and I know of no attempt to publish their details. It does not help that the pattern is a rather generic one of the "Blue Willow" type, a popular subject that at least dozens of potters copied. The blue mark found on the bottom of the bowl was probably used to account for the employee who decorated the piece.