The Maughold parish register has:
Alexander Kaneen & Elizabeth Looney married 8 Apr 1848. Alexander from Andreas. Elizabeth with consent of parents (aged under 21).

Suggest Elizabeth daur of Robert Looney & Jane Sayle bapt Maughold 23 Mar 1828.

BUT I think the clerk has made an error with the name Jane. The only marriage I can find of a Robert Looney to Sayle around the right date was Robert Looney & Elizabeth Sayle who married in Maughold on 12 May 1821.

The 1841 Maughold census has:
1 2 7 Lewaigue
Robert LOONEY 45 Isle of Man
Betty LOONEY 40 Isle of Man
Robert LOONEY 20 Isle of Man
John LOONEY 18 Isle of Man
Mary LOONEY 16 Isle of Man
Betsy LOONEY 14 Isle of Man
Margaret LOONEY 7 Isle of Man
Thomas LOONEY 5 Isle of Man

The 1861 census has:
1 105 Port E Vullin
Robert LOONEY Head MAR 67 Farmer of 25 acres Maughold
Elizabeth LOONEY Wife MAR 60 Maughold
Margaret LOONEY Daughter UNM 25 Maughold
Catherine LOONEY Granddaughter UNM 18 House servant Maughold
Maria KERRUISH Granddaughter UNM 1 Maughold
John SAYLE Broth in Law MAR 62 Formerly Farmer Maughold

This looks like Robert son of Robert Looney & Margaret Cannell, Maughold Private baptism 20 Oct 1794.

Sue