I reckon that glass is a wondrous thing for playing tricks with the eyes - but I reckon I can see letters at the 8 o'clock position of the second picture - seems to me they start with a K and the name would be something like Keegan or Keyes. I have rotated and modified brightness, etc. so the "name" is now above the pontil mark.
RE photographs of very patterned objects to try an see signatures. There are various methods including smearing the base with talc, for instance, which will fill the grooves and remain behind as a white signature. Or taking the picture form a very shallow angle so the light bounces off the glass but any grooves appear dark - very useful for strongly patterned items as the pattern is effectively negated. I have also include a couple of pictures to illustrate the latter of a Kosta Boda Vase I own. Finally it is best to make the pictures as large as possible - so old eyes like mine have a better chance of seeing clues. Your limts are 124.9Mb for the picture size, and up to 999 for the length & width. Any larger will be refused. Typically that equates to around 999 x 400 or 700 x 700 as dimensions but it varies depending on the range of colours and complexity of the object.