Numbers in brackets refer to census years when individuals were on the IOM.

Alexander French (41 51 61) b. Scotland 1791 d. Aug 1862 and Margaret Maddrell (41 51 61) b. Rushen 1786 d. Mar 1872, married March 4 1809 in Malew parish.
They had eight children in the IGI who were christened on the IOM:
Huken??!! 23 Sept 1810 Malew
Margaret Jan 8 1815 Malew d. Dec 1816
Elizabeth (41) 21 May 1817 Arbory
Catherine 24 Oct 1819 Arbory d. next day
Agnes (the IGI says Finch) (41) 25 Feb 1821
Margaret (the IGI says Finch) (41 51) 15 Feb 1824 d. Mar 1856
Alexander (41 51 61) 9 Apr 1826 Rushen d Oct 1868
Eleanor (41 51 61) 23 Nov 1828 Rushen

There appears to have been another daughter Euphemia (41 51 61), born Arbory c. 1811 who married Richard Clague (41 51) on Nov 7 1835. Euphemia was the name of Alexander's scottish mother.

Huken (I would like to see the original entry) does not appear in any census or burial record.
A William French aged 26 was buried in Rishen in 1836.
Alexander Jr. married Ann Da(i)ly (51 61 71 81) d Mar 1893
They had seven children christened in the IGI:
William (51 61 71) 13 Oct 1850 Ramsey
John (61 71) 27 Feb 1853 Ramsey
Alexander (61) 10 june 1855 Ramsey d Aug 1838
Thomas (61 71 81) 9 May 1858 Rushen
Hannah Christian (61 71) 16 Sep 1860 Rushen
Lydia (71 81) 3 May 1867 Rushen d Apr 1838
Margaret Ann Jun 27 1867 - she died two days later.
Margaret French (christened 1824) had a son called Richard French (51 61) christened 23 Nov 1845.
For more detail you can access the IGI at:
www.familysearch.com, click on "Search", type in "French" as a last name, click on IGI/British Isles on the right, then hit "Refine search" and select "Isle of Man" in the Country field.
Also see:
www.lawsons.ca
Among other useful info, Brian Lawson has indexed IOM burials.