We analyze line-of-sight atomic hydrogen ( H i ) line profiles of 31 nearby , low-mass galaxies selected from the Very Large Array - ACS Nearby Galaxy Survey Treasury ( VLA-ANGST ) and The H i Nearby Galaxy Survey ( THINGS ) to trace regions containing cold ( T \lesssim 1400 K ) H i from observations with a uniform linear scale of 200 pc beam ^ { -1 } . Our galaxy sample spans four orders of magnitude in total H i mass and nine magnitudes in M _ { B } . We fit single and multiple component functions to each spectrum to isolate the cold , neutral medium given by a low dispersion ( < 6 km s ^ { -1 } ) component of the spectrum . Most H i spectra are adequately fit by a single Gaussian with a dispersion of 8-12 km s ^ { -1 } . Cold H i is found in 23 of 27 ( \sim 85 % ) galaxies after a reduction of the sample size due to quality control cuts . The cold H i contributes \sim 20 % of the total line-of-sight flux when found with warm H i. Spectra best fit by a single Gaussian , but dominated by cold H i emission ( i.e. , have velocity dispersions < 6 km s ^ { -1 } ) are found primarily beyond the optical radius of the host galaxy . The cold H i is typically found in localized regions and is generally not coincident with the very highest surface density peaks of the global H i distribution ( which are usually areas of recent star formation ) . We find a lower limit for the mass fraction of cold-to-total H i gas of only a few percent in each galaxy .