Securities and Exchange Commission
Washington, D.C.  20549

	Schedule 13-G
	Under the Securities Exchange Act of 1934

	Enhance Financial Services
	Common Stock
	CUSIP Number 293310108

Check the following box if a fee is being paid with this statement. [  ]

CUSIP No. 293310108

1)	Name of reporting person:
Legg Mason, Inc. 
Tax Identification No:
52-1200960

2) Check the appropriate box if a member of a group:
a) n/a
b) n/a

3) SEC use only

4) Place of organization:
Baltimore, Maryland

Number of shares beneficially owned by each reporting person with:
5) Sole voting power:  2,126,500 shares* 
6) Shared voting power: 86,735 shares *
7) Sole dispositive power:  2,126,500 shares* 
8) Shared dispositive power:  86,735 shares *

9) Aggregate amount beneficially owned by each reporting person:
2,213,235 shares*

10) Check if the aggregate amount in row (9) excludes certain 
shares:
n/a

11) Percent of class represented by amount in row (9):
5.92%

12) Type of reporting person:
HC

*Shares are held by Legg Mason Special Investment Trust, Inc., and Legg 
Mason Total Return Trust, Inc., with Legg Mason Fund Adviser, Inc. 
having power to dispose thereof; by various clients of Batterymarch 
Financial Management, Inc., Legg Mason Wood Walker, Inc., and Legg Mason 
Capital Management, Inc., each having power to dispose thereof.



	Schedule 13-G
	Page 2

Item 1a) Name of issuer:
Enhance Financial Services
Item 1b) Address of issuer's principal executive offices:
		335 Madison Ave.
		New York, NY  10017
Item 2a) Name of person filing:
Legg Mason, Inc. 

Item 2b) Address of principal business office:
100 Light Street
Baltimore, Maryland 21202
Item 2c) Citizenship:
Maryland Corporation
Item 2d) Title of class of securities:
Common Stock
Item 2e) CUSIP number:   293310108
Item 3) If this statement is filed pursuant to Rules 13d-1(b), or 
13d-2(b), check 	whether the person filing is a:
(a) [  ] Broker or dealer under Section 15 of the Act.
(b) [  ] Bank as defined in Section 3(a)(6) of the Act.
(c) [  ] Insurance Company as defined in section 3(a)(19) of the 
Act.
(d) [  ] Investment Company registered under Section 8 of the 
Investment Company 			Act. 
(e) [  ] Investment Adviser registered under Section 203 of the 
Investment Advisers Act 			of 1940.
(f) [  ] Employee Benefit Plan, Pension Fund which is subject to 
ERISA of 1974 or 			Endowment Fund; see 240.13d-1(b)(ii)(F).
(g) [X] Parent holding company, in accordance with 240.13d-
1(b)(ii)(G).
(h) [  ] Group, in accordance with 240.13d-1(b)(1)(ii)(H).

Item 4) Ownership:
(a) Amount beneficially owned:
2,213,235 shares*
(b) Percent of Class:
5.92%
(c) Number of shares as to which such person has:
(i)   sole power to vote or to direct the vote:
2,126,500 shares*
(ii)  shared power to vote or to direct the vote:
		  86,735 shares *
(iii) sole power to dispose or to direct the disposition of:
2,126,500 shares*
(iv)  shared power to dispose or to direct the disposition of:
				86,735 shares *
*Shares are held by Legg Mason Special Investment Trust, Inc., and Total 
Return Trust, Inc., with Legg Mason Fund Adviser, Inc. having power to 
dispose thereof; by various clients of Batterymarch Financial 
Management, Inc., Legg Mason Wood Walker, Inc., and Legg Mason Capital 
Management, Inc., each having power to dispose thereof.




	Schedule 13-G
	Page 3



Item 5) Ownership of Five Percent or less of a class:
n/a

Item 6) Ownership of more than Five Percent on behalf of another 
person:
n/a

Item 7) Identification and classification of the subsidiary which 
acquired the 	security being reported on by the parent holding 
company:
Legg Mason Fund Adviser, Inc., as investment adviser with 
discretion
Legg Mason Wood Walker, Inc., as broker/dealer with 
discretion
Legg Mason Capital Management, Inc., as investment adviser 
with discretion
Batterymarch Financial Management, Inc., as investment 
adviser with discretion
Item 8) Identification and classification of members of the group:
n/a

Item 9) Notice of dissolution of group:
n/a

Item 10) Certification:

By signing below I certify that, to the best of my knowledge and 
belief, the securities referred to above were acquired in the ordinary 
course of business and were not acquired for the purpose of and do not 
have the effect of changing or influencing the control of the issuer of 
such securities and were not acquired in connection with or as a 
participant in any transaction having such purposes or effect.

After reasonable inquiry and to the best of my knowledge and 
belief, I certify that the information set forth in this statement is 
true, complete and correct.


February 12, 1999			
Date

/s/Timothy C. Scheve
Signature

Timothy C. Scheve, Executive Vice President, Legg Mason, Inc.	
Name/Title