Eumenes I, his nephew, ruled 263
BC - 241 BC.
Attalus I Soter, nephew of
Eumenes I, ruled 241 BC - 197 BC. Attalus was the first one in the
family who officially called himself king. Hence it's called the
Eumenes II, son of Attalus I,
ruled 197 BC - 159 BC.
Attalus II Philadelphus, the son
of Attalus I and brother of Eumenes II, ruled 159 BC - 138 BC.
Attalus III Philometor, who was
the son of Eumenes II and nephew of Attalus II, ruled 138 BC - 133
BC. He died without an heir and for some bizarre reason he
bequeathed his kingdom to Rome.
And this is the map
OF THE ATTALIDS
Click to enlarge