Can someone please tell me the name of Solomon's father, listed on the top of his tombstone.

Thank you.
Virginia Cohen

Shim'on == Simeon
--
Odeda Zlotnick
Jerusalem, Israel.

Odeda is correct that Solomon's father is Shimon. Shlomo is Solomon's Hebrew name, not his father.
--
Binyamin Kerman
Baltimore MD

Researching:
KERMAN Pinsk 
SPIELER Lodz, Zloczew, Belchatow
SEGALL, SCHWARTZ Piatra Neamt