We present two millisecond pulsar discoveries from the PALFA survey of the Galactic plane with the Arecibo telescope . PSR J1955+2527 is an isolated pulsar with a period of 4.87 ms , and PSR J1949+3106 has a period of 13.14 ms and is in a 1.9-day binary system with a massive companion . Their timing solutions , based on 4 years of timing measurements with the Arecibo , Green Bank , Nançay and Jodrell Bank telescopes , allow precise determination of spin and astrometric parameters , including precise determinations of their proper motions . For PSR J1949+3106 , we can clearly detect the Shapiro delay . From this we measure the pulsar mass to be 1.47 ^ { +0.43 } _ { -0.31 } \mbox { M } _ { \odot } , the companion mass to be 0.85 ^ { +0.14 } _ { -0.11 } \mbox { M } _ { \odot } and the orbital inclination to be i = 79.9 _ { +1.6 } ^ { -1.9 } degrees , where uncertainties correspond to \pm 1 - \sigma confidence levels . With continued timing , we expect to also be able to detect the advance of periastron for the J1949+3106 system . This effect , combined with the Shapiro delay , will eventually provide very precise mass measurements for this system and a test of general relativity .