We search for fast-expanding Hi shells associated with Galactic supernova remnants (SNRs) in the longitude range ℓ ≈ 32 • to 77 • using 21-cm line data from the Inner-Galaxy Arecibo L-band Feed Array (I-GALFA) Hi survey. Among the 39 known Galactic SNRs in this region, we find such Hi shells in four SNRs: W44, G54.4−0.3, W51C, and CTB 80. All four were previously identified in lowresolution surveys, and three of those (excluding G54.4 − 0.3) were previously studied with the Arecibo telescope. A remarkable new result, however, is the detection of Hi emission at both very high positive and negative velocities in W44