Understanding bone remodeling and mechanical property characteristics is important for assessing treatments to accelerate healing or in developing diagnostics to evaluate successful return to function. The murine system whereby mid-diaphaseal tibia fractures are imparted on the subject and fracture healing is assessed at different time points and under different therapeutic conditions is a particularly useful model to study. In this work, a novel inverse geometric nonlinear elasticity modeling framework is proposed that can reconstruct multiple mechanical properties from uniaxial testing data. This is investigated within the context of a murine cohort (n=3) that are 14 days post fracture. This work is the first to report mechanical properties of a callus using an inverse problem methodology whereby 2758.4 ± 682.5 kPa, 0.467 ± 0.009 were found to be the Young's modulus and Poisson's ratio, respectively. In addition better consistency of the reconstructed metrics over more traditional metrics is demonstrated.