We present timing solutions for four pulsars discovered in the Green Bank Northern Celestial Cap ( GBNCC ) survey . All four pulsars are isolated with spin periods between 0.26 s and 1.84 s. PSR J0038 - 2501 has a 0.26 s period and a period derivative of 7.6 \times 10 ^ { -19 } { s s } ^ { -1 } , which is unusually low for isolated pulsars with similar periods . This low period derivative may be simply an extreme value for an isolated pulsar or it could indicate an unusual evolution path for PSR J0038 - 2501 , such as a disrupted recycled pulsar ( DRP ) from a binary system or an orphaned central compact object ( CCO ) . Correcting the observed spin-down rate for the Shklovskii effect suggests that this pulsar may have an unusually low space velocity , which is consistent with expectations for DRPs . There is no X-ray emission detected from PSR J0038 - 2501 in an archival Swift observation , which suggests that it is not a young orphaned CCO . The high dispersion measure of PSR J1949+3426 suggests a distance of 12.3 kpc . This distance indicates that PSR J1949+3426 is among the most distant 7 % of Galactic field pulsars , and is one of the most luminous pulsars .