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The ${}^{13}\mathrm{C}{(}^{3}\mathrm{He}{,d)}^{14}\mathrm{N}$ proton transfer reaction has been measured at an incident energy of 26.3 MeV. Angular distributions for proton transfer to the ground state and excited states at $2.313$ and 3.948 MeV in ${}^{14}\mathrm{N}$ are analyzed within the framework of the modified DWBA. Asymptotic normalization coefficients (ANC's) defining the amplitude of the tails of the ${}^{14}\mathrm{N}$ bound-state wave functions in the ${}^{13}\mathrm{C}+p$ channel are extracted that are in excellent agreement with values found previously with the ${}^{13}\mathrm{C}{(}^{14}\mathrm{N}{,}^{13}\mathrm{C}{)}^{14}\mathrm{N}$ reaction. We conclude that ${C}_{{p}_{1/2}}^{2}=18.2(9) {\mathrm{fm}}^{\ensuremath{-}1}$ and ${C}_{{p}_{3/2}}^{2}=0.91(14) {\mathrm{fm}}^{\ensuremath{-}1}$ for the virtual decay ${}^{14}\mathrm{N}(\mathrm{g}.\mathrm{s}.{)}^{13}\mathrm{C}+p.$ These are necessary for the analysis of the ${}^{14}\mathrm{N}{(}^{7}\mathrm{Be}{,}^{8}\mathrm{B}{)}^{13}\mathrm{C}$ and ${}^{14}\mathrm{N}{(}^{11}\mathrm{C}{,}^{12}\mathrm{N}{)}^{13}\mathrm{C}$ reactions to extract the ANC's for ${}^{7}\mathrm{Be}+{p}^{8}\mathrm{B}$ and ${}^{11}\mathrm{C}+{p}^{12}\mathrm{N},$ which determine the direct radiative capture cross sections ${}^{7}\mathrm{Be}(p,\ensuremath{\gamma}{)}^{8}\mathrm{B}$ and ${}^{11}\mathrm{C}(p,\ensuremath{\gamma}{)}^{12}\mathrm{N}$ at astrophysical energies.

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