GRB 110319***A***, Swift-BAT refined analysis S. D. Barthelmy (GSFC), W. H. Baumgartner (GSFC/UMBC), J. R. Cummings (GSFC/UMBC), N. Gehrels (GSFC), H. A. Krimm (GSFC/USRA), A. Y. Lien (GSFC/UMBC), C. B. Markwardt (GSFC), D. M. Palmer (LANL), T. Sakamoto (AGU), M. Stamatikos (OSU), T. N. Ukwatta (LANL) (i.e. the Swift-BAT team): Using the data set from T-270 to T+1054 sec from the recent telemetry downlink, we report further analysis of BAT GRB 110319***A*** (trigger #449578) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 356.507, -66.008 deg which is RA(J2000) = 23h 46m 01.8s Dec(J2000) = -66d 00' 30.1" with an uncertainty of 1.0 arcmin, (radius, sys+stat, 90% containment). The partial coding was 100%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 20.7 +- 1.6 sec (estimated error including systematics). The time-averaged spectrum from T-0.3 to T+31.1 sec is best fit by a power law with an exponential cutoff. This fit gives a photon index 1.38 +- 0.43, and Epeak of 21.0 +- 7.7 keV (chi squared 54.84 for 56 d.o.f.). For this model the total fluence in the 15-150 keV band is 1.4 +- 0.1 x 10^-06 erg/cm2 and the 1-sec peak flux measured from T+13.10 sec in the 15-150 keV band is 2.2 +- 0.2 ph/cm2/sec. A fit to a simple power law gives a photon index of 2.55 +- 0.08 (chi squared 84.01 for 57 d.o.f.). All the quoted errors are at the 90% confidence level. The results of the batgrbproduct analysis are available at http://gcn.gsfc.nasa.gov/notices_s/449578/BA/