Step 1: Concept Normality ($N$) is defined as the number of gram equivalents of solute per liter of solution.
Step 2: Meaning For oxalic acid ($H_{2}C_{2}O_{4} \cdot 2H_{2}O$), the n-factor (basicity) is 2 because it provides two $H^{+}$ ions. Equivalent weight = Molecular weight n-factor = $126 / 2 = 63$.
Step 3: Analysis Number of gram equivalents = Mass Equivalent weight = $12.6 / 63 = 0.2$.
Volume of solution in liters = $1500 / 1000 = 1.5$ L.
Normality = Equivalents Volume (L) = $0.2 / 1.5$.
Step 4: Conclusion Normality = $0.1333...$ N, which matches Option (B).
Final Answer: (B)