My first thought was Mary May, but the shape of the M and Y seem wrong.
So, taking it letter by letter.... what could the last letter be? I think it's most likely to be G. If so, the best fit for the preceding letter would be N. There is a dot above the word - unless this is a blemish, this suggests the letter I. If (and it's a big if!) I am on the right track, the surname would end ___ING. But I can't figure out the beginning!
Philip