Help Identify My Ladies Omega Watch I just Brought

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Hi everyone, I just brought this and all I know is it was sold in France and has a gold plated case and chain, but a hallmark on the clasp, so this must be solid 9ct gold. Watch actually goes and keeps time.

Face reads:
OMEGA
FAB SUISSE

Clasp reads: 9C

Inside Case reads;
Omega Watch Co.
Plaque or L80 Microns
Central Watch Case Co.
C.B 2443-9

There is also a series of numbers lightly scratched onto the inside of the case; 3821, 44886, 41734, J, AK6848, 306087, 9855A1
 
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Are there numbers in the caseback?
 
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Are there numbers in the caseback?
Yes, lightly scratched onto the inside of the case: 3821, 44886, 41734, J, AK6848, 306087, 9855A1