  The paper presented here focuses on the classification of trivial source
Specht modules. We completely classify the trivial source Specht modules
labelled by hook partitions. We also classify the trivial source Specht modules
labelled by two-part partitions in the odd characteristic case. Moreover, in
the even characteristic case, we prove a result for the classification of the
trivial source Specht modules labelled by partitions with 2-weight 2, which
justifies a conjecture of [16].
