We present Very Long Baseline Array ( VLBA ) observations of the TeV blazars H 1426+428 , 1ES 1959+650 , and PKS 2155 - 304 obtained during the years 2001 through 2004 . We observed H 1426+428 at four epochs at 8 GHz , and found that its parsec-scale structure consisted of a \sim 17 mJy core and a single \sim 3 mJy jet component with an apparent speed of 2.09 c \pm 0.53 c . The blazar 1ES 1959+650 was observed at three epochs at frequencies of 15 and 22 GHz . Spectral index information from these dual-frequency observations was used to definitively identify the core of the parsec-scale structure . PKS 2155 - 304 was observed at a single epoch at 15 GHz with dual-circular polarization , and we present the first VLBI polarimetry image of this source . For 1ES 1959+650 and PKS 2155 - 304 , the current observations are combined with the VLBA observations from our earlier paper to yield improved apparent speed measurements for these sources with greatly reduced measurement errors . The new apparent speed measured for component C2 in 1ES 1959+650 is 0.00 c \pm 0.04 c ( stationary ) , and the new apparent speed measured for component C1 in PKS 2155 - 304 is 0.93 c \pm 0.31 c . We combine the new apparent speed measurements from this paper with the apparent speeds measured in TeV blazar jets from our earlier papers to form a current set of apparent speed measurements in TeV HBLs . The mean peak apparent pattern speed in the jets of the TeV HBLs is about 1 c . We conclude the paper with a detailed discussion of the interpretation of the collected VLBA data on TeV blazars in the context of current theoretical models for the parsec-scale structure of TeV blazar jets .