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