Both counties will harbour hopes of silverware this year.
Offaly and Westmeath have been pitched in together for All Ireland Intermediate Camogie Championship this year.
They'll be joined in Group One of the competition by Wexford, Galway, Cork and Clare.
Westmeath will be looking to go one step further after losing at the semi-final stages to Meath last year.
While Offaly will be tilting at regaining their senior status after relegation last year.
Group Two consists of Meath, Kilkenny, Carlow, Kildare, Kerry, Dublin, and Antrim.
In the Premier Junior Championship Laois are in Group Two with Roscommon, Cavan, Louth, Mayo and Limerick.
At Senior level, Cork will battle it out with Galway, Down, Wexford, Clare and Dublin in this year's All-Ireland Senior Championship.
They're the teams drawn in Group 2 while in Group 1 its last year's losing finalists Waterford along with Kilkenny, Limerick, Tipperary, Derry and Antrim.