Given a curve C_0 with two irreducible components C'_0 and C''_0 meeting transversely at a single point and its smoothing {C_t}, I will construct a family of smooth and proper triangulated categories whose general fiber is an augmentation of C_t (i.e., a category with a semiorthogonal decomposition generated by D(C_t) and an extra exceptional object) and whose central fiber is an admissible subcategory in a gluing of D(C'_0) and D(C''_0). This family categorifies the family of Jacobians of C_t.