We combine Hubble Space Telescope (HST) Fine Guidance Sensor, Hipparcos, and Gaia DR3 astrometric observations of the K0V star 14 Her with the results of an analysis of extensive ground-based radial velocity data to determine perturbation orbits and masses for two previously known companions, 14Herb and c. Radial velocities obtained with the Hobby-Eberly Telescope and from the literature now span over 25 years. With these data we obtain improved radial velocity (RV) orbital elements for both the inner companion, 14Herb and the long-period outer companion, 14 Her c. We also find evidence of an additional RV signal with P=3789d. We then model astrometry from Hipparcos, HST, and Gaia with RV results to obtain system parallax and proper motion, perturbation periods, inclinations, and sizes due to 14Herb and c. We find Pb=1767.6{+/-}0.2days, perturbation semimajor axis {alpha}b=1.3{+/-}0.1mas, and inclination ib=36{deg}{+/-}3{deg}, Pc=52160{+/-}1028days, perturbation semimajor axis {alpha}c=10.3{+/-}0.7mas, and inclination ic=82{deg}{+/-}14{deg}. In agreement with a past investigation, the 14Herb, c orbits exhibit significant mutual inclination. Assuming a primary mass M*=0.98{+/-}0.04M{sun}, we obtain companion masses M_b_=8.5_-0.8_^+1.0^M{Jup}, and M_c_=7.1_-0.6_^+1.0^M{Jup}.