2 Wires from Ballast to Cap
2 COM connected only to the ballast
1 120
1 240
1 LAMP
What I have read is that COM to power input. 1 wire from CAP to lamp Socket and the LAMP wire to Lamp Socket.
Here is a picture of how it looks at the moment. I am thrown off by both wires to the CAP being wired directly to the Ballast.

Thanks in advance for the help.
No I do not have a model number for the Ballast.
The only information I have is on the CAP:
AEROVOX 2592-RMF
24uF +/-3% 400VAC 50/60 HZ 90C
Protected P 10000 AFC NO PCB'S
C22.2 NO 190 MADE IN USA 0629
251853 RM102 CA-48
INT RES .99 MEG OHMS