We present Keck spectropolarimetry of two rare low-ionization broad ab
sorption line (BAL) quasars (QSOs), FIRST J084044.5+363328 and FIRST J
155633.8+351758, that also exhibit narrow absorption lines from metast
able excited levels of Fe II (''iron Lo-BALs''). These QSOs were disco
vered in optical follow-ups to a deep radio survey; FIRST J155633.8+35
1758 is radio-loud, the first BAL QSO so identified. FIRST J084044.5+3
63328 is highly polarized and exhibits many features found in other BA
L QSOs. The continuum is approximate to 4% polarized near the 2000 Ang
strom rest frame, falling to approximate to 2% at longer wavelengths,
at a position angle of approximate to 50 degrees. The emission lines a
re unpolarized. The polarization rises to approximate to 8% in the low
-ionization troughs of Mg II lambda 2800 and Al III lambda 1860. The p
olarization and its position angle vary in a complicated manner across
the metastable Fe II absorption lines, which suggests that more than
one mechanism is at work or that the system geometry is complex. FIRST
J155633.8+351758 may be the most highly polarized BAL QSO known, and
it exhibits other unusual polarization properties compared with those
of other highly polarized BAL QSOs. The continuum is approximate to 13
% polarized near the 2000 Angstrom rest frame, falling to approximate
to 7% at longer wavelengths, at a position angle of 153 degrees. The e
mission lines are polarized like the continuum, but in the absorption
troughs the polarization drops to zero. Currently available data canno
t yet discriminate among the possible lines of sight to BAL QSOs (edge
-on, pole-on, or random).