Both sides were action against Dublin teams over the weekend.
There were two wins from two games for Laois Hockey Club over the weekend.
The first team picked up a 2-1 win away to Avoca in South Dublin on Saturday.
Abigail Clarke scored a brace, with their opponents pulling one back with a few moments left, but they held on to claim a vital win.
The Tullamore Hockey team also had a one goal victory over the weekend as they saw off Dublin side Botanic 1-0 at home on Saturday.