SOLVED

16F1936 at 32MHz:

1) Elapsed_INT.bas, used Preload from 16 MHz,

Code:
  If OSC == 32
TimerConst = 063C7h
  EndIF
2) Set TMR1CS to Fosc/4

3) Set T1CKPS to 1:2 Prescaler

It runs at same speed as timer on my cell phone.

Compete code:

Code:
@ ERRORLEVEL -301   ; turn off ADC clock ignored message
@ ERRORLEVEL -306   ; turn off crossing page boundary message

#CONFIG
 __CONFIG _CONFIG1, _FOSC_INTOSC & _WDTE_OFF & _PWRTE_ON & _MCLRE_ON & _CP_OFF & _CPD_OFF & _BOREN_OFF & _CLKOUTEN_OFF & _IESO_OFF & _FCMEN_OFF 
 __CONFIG _CONFIG2, _WRT_OFF & _VCAPEN_OFF & _PLLEN_OFF & _STVREN_OFF & _BORV_LO & _LVP_OFF
#ENDCONFIG

DEFINE OSC 32

SPLLEN          CON %1                  ' PLL enable
IRCF            CON %1110               ' to enable 8 MHz
SCS             CON %00                 ' system clock determined by FOSC
OSCCON = (SPLLEN << 7) | (IRCF << 3) | SCS

INCLUDE "DT_INTS-14.bas"
INCLUDE "ReEnterPBP.bas"
Include "Elapsed_INT.bas"

ASM
INT_LIST  macro    ; IntSource,        Label,  Type, ResetFlag?
        INT_Handler   TMR1_INT,  _ClockCount,   PBP,  yes
    endm
    INT_CREATE            ; Creates the interrupt processor
ENDASM

T1CON    = %00010101     ; Prescaler=1:1, TMR3ON.
'           bit 7-6 TMR1CS<1:0>: Timer1 Clock Source Select bits
'                   00 =Timer1 clock source is instruction clock (FOSC/4)
'           bit 5-4 T1CKPS<1:0>: Timer1 Input Clock Prescale Select bits
'                   01 = 1:2 Prescale value                                        
'           bit 3   T1OSCEN: LP Oscillator Enable Control bit
'                   0 = Dedicated Timer1 oscillator circuit disabled
'           bit 2   T1SYNC: Timer1 External Clock Input Synchronization Control bit
'                   1 = Do not synchronize external clock input
'           Unimplemented: Read as ‘0’
'           bit 0 TMR1ON: Timer1 On bit
'                   1 = Enables Timer1

DEFINE  LCD_DREG      PORTB             ' Set LCD data port
DEFINE  LCD_DBIT      0                 ' Set starting data bit
DEFINE  LCD_RSREG     PORTC             ' Set LCD register select port
DEFINE  LCD_RSBIT     5                 ' Set LCD register select bit
DEFINE  LCD_EREG      PORTC             ' Set LCD enable port
DEFINE  LCD_EBIT      4                 ' Set LCD enable bit
DEFINE  LCD_BITS      4                 ' Set LCD bus size
DEFINE  LCD_LINES     4                 ' Set number of lines on LCD
DEFINE  LCD_COMMANDUS 1000              ' Set command delay time in microseconds
DEFINE  LCD_DATAUS    50                ' Set data delay time in microseconds

define  CCP4_REG     PORTC              ' PWM Pulse out to LCD contrast
DEFINE  CCP4_BIT     1                  '   2N2907 PNP with 1K on base
define  CCP5_REG     PORTC              ' PWM Pulse out to LCD backlight
DEFINE  CCP5_BIT     2                  '   2N2222A NPN with 1K on base

ANSELA = %00000000
ANSELB = %00000000

TRISA = %00000111
TRISB = %00110000
TRISC = %10000000
TRISE = %00000000

    HPWM 2,100,1953
    HPWM 1,180,1953
    
@ INT_ENABLE TMR1_INT ; Enable Timer 1 Interrupts
    Gosub ResetTime                ' Reset Time to  0d-00:00:00.00

    Pause 500                           ' Let PIC and LCD stabilize

    LCDOUT $FE, 1 : Pauseus 1

    GOSUB StartTimer          ' Start the Elapsed Timer

Mainloop:

    IF SecondsChanged = 1 THEN  
        SecondsChanged = 0
        LCDOUT $FE,2, DEC Days,"d-",DEC2 Hours,":",DEC2 Minutes,":",DEC2 Seconds
    ENDIF
    
    goto mainloop
end