what is the record for stolen bases by a catcher for a whole season????

Answer 1

Pre-1900, the record is held by King Kelly, who had 56 in 1888:

Catcher YEAR SB
1 King Kelly 1888 56
2 Buck Ewing 1888 53
3 King Kelly 1890 51
4 Jim O'Rourke 1887 46
5 Artie Clarke 1890 44
6 Jack Doyle 1893 40
T7 Tom Cahill 1891 39
T7 Herman Pitz 1890 39
T9 John Wathan 1982 36
T9 Pat Dealy 1887 36
T9 Buck Ewing 1890 36

Post-1900, it's John Wathan's 36 with the 1982 Royals:

Catcher YEAR SB
1 John Wathan 1982 36
2 Ray Schalk 1916 30
3 John Wathan 1983 28
4 Jason Kendall 1998 26
T5 Craig Biggio 1990 25
T5 John Stearns 1978 25
T5 Roger Bresnahan 1906 25
T5 Ivan Rodriguez 1999 25
T9 Johnny Kling 1902 24
T9 Ray Schalk 1914 24

Answer 2

I think its Jason Kendall with 26 or so with the Pirates.