Dear Donna,
Sorry forgot to put areas where they were living from census that I have found.
1841 Census Parish of German, Peel
Richard head 40 Advocate
Jane wife 35
Alicia 8
Richard son 7
1851 Census
1 Kirk Patrick Street, Parish of German, Peel
Richard head 49 Magistrate Advocate Arbory
Jane wife 47 Lezayre
Alicia dau 18 Rushen
Richard T. E 16 Rushen
I couldn't find them in 1861 Census but found these on Brian's site under deaths where birth dates work out, but there are a lot of Janes and Richards so am probably incorrect. I could only see Richard as a possible member of the house of keys from 1844-1852. Also had look through Manxnotebook but could not find a mention after 1852.
HARRISON, Alicia L. J. 24 Lez 5 Jan 1856
HARRISON, Jane 51 Arb 14 Sep 1854
HARRISON, Richard 53 Arb 23 Dec 1854
Richard and Janes son Richard T.E
10 Waterloo Road Ramsey
1861 Census
Richard T. E Harrison 26 head landed proprietor Rushen
Henrietta wife 30 wife of landed proprietor Ireland
Richard M son 4 Ramsey
Birkley son 2 Ramsey
Henrietta daughter 5mths Ramsey
Regards Diane