I'll join the challenge this month :)
1. Bangerter-26 to Bawden-256 - 1940 census, Bawden-256 to Freestone-263 - 1900 census, Freestone-263 to Freestone-264 - 1870 census, Freestone-264 to Carlisle-789 - obituary. Connected!
2. Blood-696 to Blood-606 - death record. Connected!
3. Clyde-313 to Clyde-327 - 1900 census, Clyde-327 to Clyde-65 - 1870 census. Connected!
4. Cutler-1065 to Taylor-34066 - picture of headstone on find a grave, Taylor-34066 to Romney-12 - death record. Connected!
5. Lee-14852 to Lee-16414 - 1900 census, Lee-16414 to Lee-10565 (also unconnected) - 1880 census, Lee-10565 to Lee-16416 - 1880 census, Lee-16416 to Kelsey-1151 - wife's obituary, Kelsey-1151 to Kelsey-1152 - death certificate, Kelsey-1152 to Kelsey-55 - christening & marriage. Connected!
6. Matheson-770 to Adams-25084 - 1930 census, Adams-25084 to Adams-25086 - death cert, Adams-25086 to Adams-6921 - death cert. Connected!
7. Maw-80 to Maw-42 - 1900 census. Connected!
8. Rampton-31 to Rampton-36 - 1920 census, Rampton-36 to Rampton-37 - death cert, Rampton-37 to Rampton-39 - 39's death record, Rampton-39 to Woolley-1036 - marriage, Woolley-1036 to Woolley-838 - 1900 census. Connected!
9. (Also connected by the same path) Dinwoodey-3 to Dinwoodey-7 - 7's obituary, Dinwoodey-7 to Rampton-37 - 37's death cert, Rampton-37 to Rampton-39 - 39's death record, Rampton-39 to Woolley-1036 - marriage, Woolley-1036 to Woolley-838 - 1900 census. Connected!
10. Smith-97060 to Smith-106210 - 1940 census, Smith-106210 to Smith-106211 - 1910 census, Smith-106211 to Smith-106212 - death cert, Smith-106212 to Smith-106213 - 106213's death cert, Smith-106213 to Smith-106214 - 1900 census, Smith-106214 to Angell-871 - marriage, Angell-871 to Angell-872 - 1900 census, Angell-872 to Angell-754 - 1860 census. Connected!
11. Wells-10021 to Wells-6004 - death cert & wikipedia. Connected!
12. Hunt-10009 to Hunt-1330 - 1850 census & pioneer database. Connected!
13. Jepson-263 to Jepson-266 - 266's death certificate & 1860 census, Jepson-266 to Spendlove-40 - 1900 census, Spendlove-40 to Jones-45073 - 1940 census, Jones-45073 to Boren-523 - 1880 census. Connected!
14. Martin-29581 to Martin-29738 - 29738's death cert, Martin-29738 to Brown-49442 - 1880 census, Brown-49442 to Brown-49443 - christening, Brown-49443 to Brown-49445 - 49445's death cert, Brown-49445 to Willis-3610 (already in tree but unconnected) - 49445's death cert, Willis-3610 to Willis-2882 - death cert. Connected!
15. Cooley-2219 to Hunt-10094 - 1880 census, Hunt-10094 to Hunt-10009 (#12 above) - 1850 census. Connected!
16. Molen-24 to Molen-35 - 1850 census, Molen-35 to Lowry-2432 - 1900 census, Lowry-2432 to Lowry-1553 - 1870 census. Connected!
17. Mumford-678 to Crosby-1268 - 1860 census & 1268's death record. Connected!
18. Murdock-970 to Murdock-975 - 975's death cert, Murdock-975 to Farnsworth-1032 - death cert, Farnsworth-1032 to Farnsworth-114 - death cert. Connected!
19. Murdock-880 to Murdock-970 (#18 above) - 970's death cert. Connected!
20. Nebeker-32 to Nebeker-33 - 1880 census, Nebeker-33 to Nebeker-38 - 1900 census, Nebeker-38 to Grant-8056 - marriage, Grant-8056 to Grant-8057 - 1900 census, Grant-8057 to Grant-4303 - death cert. Connected!
21. Neslen-2 to Saville-104 - 1880 census. Connected!
22. Pingree-48 to Harris-20687 - marriage, Harris-20687 to Harris-20688 - death cert, Harris-20688 to Harris-8681 - Pioneers & Prominent Men of Utah. Connected!
23. Preston-3666 to Thatcher-783 - 1880 census, Thatcher-783 to Thatcher-727 - death cert. Connected!
24. Woolley-1029 to Rogers-15445 - Rogers-15445 pioneer entry, Rogers-15445 to Rogers-11483 - death cert. Connected!
25. McGaw-114 to Bassett-3019 - marriage, Bassett-3019 to Bassett-3020 - death cert, Bassett-3020 to Bassett-3021 - 3021's death cert, Bassett-3021 to Knight-7842 - 782's death cert, Knight-7842 to Knight-5453 - death cert. Connected!
26. Merrill-2568 to Merrill-918 - obituary. Connected!
27. Mecham-264 to Mecham-285 - birth, Mecham-285 to Mecham-78 - Mecham book (not an ideal source, but the info I found sources for matched). Connected!