From the "Protestant Housekeepers in Counties Antrim, Derry, Donegal, and Londonderry, Ireland 1740" at NEHGS... I did a soundex search on Begley, and then Lees. I've included the description of the holding at the bottom.
First Name Last Name Parish Barony County Number
Mrs Beckly London Derry Tyrkeering Londonderry 1421 more
James Begly Tamlaght O Creely LaughinShillin Londonderry 1178 more
Willm Begly Tamlaght O Creely LaughinShillin Londonderry 1179 more
Randle Leas BallyKelly Kenoght Londonderry 3118
David Lees Magherafelt LaughinShillin Londonderry 21 more
Edwd Lees Magharafelt LaughinShillin Londonderry 265 more
James Lees Dunean Toome Antrim 5213 more
John Lees Maghara LaughinShillin Londonderry 2395 more
John Lees Magharafelt LaughinShillin Londonderry 264 more
Robt Lees Magharafelt LaughinShillin Londonderry 317 more
Robt Lees Termoneny LaughinShillin Londonderry 703 more
Thos Lees Magharafelt LaughinShillin Londonderry 364 more
Widw Lees Dunean Toome Antrim 5111 more
Widw Lees Dunean Toome Antrim 5116 more
Peter Leese Billy Dunluce Andrim 3097
Protestant Housekeepers in Counties Antrim, Derry, Donegal, and Londonderry, Ireland 1740
The 1740 Ireland Protestant Housekeepers database is based on an original census now in the possession of the Presbyterian Historical Society of Ireland in Belfast. The work was commissioned by a member of NEHGS at the beginning of the twentieth century and transcribed from the original by J.W. Kernohan, Secretary of the Presbyterian Historical Society of Ireland. The only other known transcription is a typescript in the Public Records Office in Dublin. The counties of Antrim, Derry, Donegal, and Londonderry were transcribed as part of this project. The original also contains information from the counties of Armagh and Down, which are not included here. This census was conducted by the Church of Ireland, but contains information on individuals in all Protestant denominations, as well as a number of Roman Catholic families. Only the name of the head of household is given — no additional information was recorded.