  We present a global fit of neutral-current elastic (NCE) neutrino-scattering
data and parity-violating electron-scattering (PVES) data with the goal of
determining the strange quark contribution to the vector and axial form factors
of the proton. Previous fits of this form included data from a variety of PVES
experiments (PVA4, HAPPEx, G0, SAMPLE) and the NCE neutrino and anti-neutrino
data from BNL E734. These fits did not constrain the strangeness contribution
to the axial form factor $G_A^s(Q^2)$ at low $Q^2$ very well because there was
no NCE data for $Q^2<0.45$ GeV$^2$. Our new fit includes for the first time
MiniBooNE NCE data from both neutrino and anti-neutrino scattering; this
experiment used a hydrocarbon target and so a model of the neutrino interaction
with the carbon nucleus was required. Three different nuclear models have been
employed: a relativistic Fermi gas model, the SuperScaling Approximation model,
and a spectral function model. We find a tremendous improvement in the
constraint of $G_A^s(Q^2)$ at low $Q^2$ compared to previous work, although
more data is needed from NCE measurements that focus on exclusive single-proton
final states, for example from MicroBooNE.
